Deck 4: Systems of Equations and Inequalities

Question 1

Determine whether the ordered pair or ordered triple satisfies the system of linear equations.

- $$\begin{array} { l } y = - 3 x + 14 \\y = - \frac { 4 } { 3 } x + \frac { 22 } { 3 }\\(4, 2)\end{array}$$

A)solution
B)not a solution

Answer 1

solution

Question 2

Find the solution to the system of equations by substitution.

- $$\begin{array} { c } x + 6 y = - 45 \\- 6 x + 5 y = - 17\end{array}$$

A)(3, -6)
B)(-3, -7)
C)(-4, -6)
D)no solution

Answer 2

(-3, -7)

Question 3

Determine the solution to the system of equations graphically. If the system is inconsistent or dependent, so state.

- $$\begin{array} { l } y = - 9 x \\y = 9 x - 18\end{array}$$

A)(1, 18)
B)(-1, 9)
C)(1, -9)
D)dependent

Answer 3

(1, -9)

Question 4

Find the solution to the system of equations by substitution.

- $$\begin{array} { l } x + 4 y = 7 \\- 3 x - 12 y = - 21\end{array}$$

A)(7, 0)
B)(0, 0)
C)infinite number of solutions
D)no solution

Question 5

Determine whether the ordered pair or ordered triple satisfies the system of linear equations.

- $$\begin{array} { l } y = - x - 1 \\x - y = - 7 \\( 4,3 )\end{array}$$

A)solution
B)not a solution

Question 6

Find the solution to the system of equations by substitution.

- $$\begin{array} { l } x + y = - 6 \\x - y = 15\end{array}$$

A)(4.5, -10.5)
B)(6, -10.5)
C)(4.5, 10.5)
D)(6, 4.5)

Question 7

Determine the solution to the system of equations graphically. If the system is inconsistent or dependent, so state.

- $$\begin{array} { c } 4 x - 5 y = 4 \\15 y = 12 x - 8\end{array}$$

A)(4, 4)
B) $\left( 2 , - \frac { 5 } { 2 } \right)$
C)dependent
D)inconsistent

Question 8

Determine whether the ordered pair or ordered triple satisfies the system of linear equations.

- $$\begin{array} { l } y = - x - 1 \\x - y = - 9 \\( - 5,4 )\end{array}$$

A)solution
B)not a solution

Question 9

Determine whether the ordered pair or ordered triple satisfies the system of linear equations.

- $$\begin{array} { l } 4 x + 2 y + z = - 14 \\2 x - 2 y - z = 8 \\5 x + y + 5 z = - 28 \\( - 4 , - 3 , - 1 )\end{array}$$

A)solution
B)not a solution

Question 10

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations is
consistent, inconsistent, or dependent. Also indicate whether the system has exactly one solution, no solution, or an
infinite number of solutions.

- $$\begin{array} { l } x + 7 y = - 2 \\- 4 x - 28 y = 8\end{array}$$

A)consistent
B)inconsistent
C)dependent one solution no solution infinite number of solutions

Question 11

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations is
consistent, inconsistent, or dependent. Also indicate whether the system has exactly one solution, no solution, or an
infinite number of solutions.

- $$\begin{array} { l } 2 x - 6 y = 5 \\- 8 x + 24 y = - 15\end{array}$$

A)dependent
B)consistent
C)inconsistent infinite number of solutions one solution no solution

Question 12

Determine the solution to the system of equations graphically. If the system is inconsistent or dependent, so state.

- $$y = - \frac { 7 } { 5 } x - \frac { 8 } { 5 }$$ $$y = - \frac { 7 } { 9 } x - \frac { 20 } { 9 }$$

A)(1, -3)
B)(-7, -3)
C)(7, 3)
D)(-1, 3)

Question 13

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations is
consistent, inconsistent, or dependent. Also indicate whether the system has exactly one solution, no solution, or an
infinite number of solutions.

- $$\begin{array} { c } x + 3 y = 3 \\8 x - 5 y = - 5\end{array}$$

A)inconsistent
B)dependent
C)consistent no solution infinite number of solutions one solution

Question 14

Determine whether the ordered pair or ordered triple satisfies the system of linear equations.

- $$\begin{array} { l } y = - 3 x - 7 \\y = - \frac { 4 } { 3 } x - \frac { 1 } { 3 } \\( - 4 , - 5 )\end{array}$$

A)not a solution
B)solution

Question 15

Determine the solution to the system of equations graphically. If the system is inconsistent or dependent, so state.

- $$\begin{array} { l } y = - x - 1 \\y = x - 16\end{array}$$

A)(1, -8.5)
B)(7.5, 8.5)
C)(7.5, -8.5)
D)inconsistent

Question 16

Determine the solution to the system of equations graphically. If the system is inconsistent or dependent, so state.

- $$\begin{array} { l } y = - 3 x - 1 \\- 6 x - 2 y = 2\end{array}$$

A)(0, -1)
B)(0, 0)
C)dependent
D)inconsistent

Question 17

Find the solution to the system of equations by substitution.

- $$\begin{array} { c } 7 x + y = 0 \\- 7 x + y = - 14\end{array}$$

A)(1, 14)
B)(-1, 7)
C)(1, -7)
D)(-1, -7)

Question 18

Find the solution to the system of equations by substitution.

- $$\begin{array} { l } y = - 4 x + 26 \\y = - \frac { 1 } { 2 } x + 5\end{array}$$

A)(6, 2)
B)(2, 6)
C)infinite number of solutions
D)no solution

Question 19

Find the solution to the system of equations by substitution.

- $$\begin{array} { l } x + 2 y = 2 \\7 x - 6 y = - 6\end{array}$$

A)(1, 0)
B)(0, 0)
C)(1, 1)
D)(0, 1)

Question 20

Determine whether the ordered pair or ordered triple satisfies the system of linear equations.

- $$\begin{array} { l } 4 x + 4 y + z = 15 \\4 x - 5 y - z = - 36 \\4 x + y + 3 z = 6 \\( - 2,5,3 )\end{array}$$

A)solution
B)not a solution

Question 21

Solve the system of equations using the addition method.

- $$\begin{array} { l } x - y + z = - 3 \\x + y + z = - 5 \\x + y - z = 5\end{array}$$

A)(1, -5, -1)
B)(-5, 1, -1)
C)(-1, -5, 1)
D)(1, -1, -5)

Question 22

Solve the system of equations using the addition method.

- $$\begin{array} { l } 3.2 x + 0.3 y = 17.5 \\0.8 x + 0.9 y = 8.5\end{array}$$

A)(5, 5)
B)(5.9, 5)
C)(8.2, 5.3)
D)(1.8, 5.3)

Question 23

Solve the system of equations using the addition method.

- $$\begin{aligned}2 x + 8 y & = - 42 \\12 x + 2 y & = 70\end{aligned}$$

A)(-2, 7)
B)(12, -12)
C)(-7, 7)
D)(7, -7)

Question 24

Solve the system of equations using the addition method.

- $$\begin{array} { l } 3 x + 5 y + z = 1 \\5 x - 2 y - z = 33 \\5 x + y + 3 z = 11\end{array}$$

A)(-2, 5, -4)
B)(5, -4, -2)
C)(5, -2, -4)
D)(-4, -2, 5)

Question 25

Solve the system of equations using the addition method.

- $$\begin{array} { l } 5 x + 4 y = 61 \\5 x + 2 y = 73\end{array}$$

A)(-17, 4)
B)(17, -6)
C)(-6, 17)
D)(-17, 5)

Question 26

Solve the system of equations using the addition method.

- $$\begin{array} { l } \frac { 1 } { 5 } x + \frac { 1 } { 5 } y = 0 \\x - y = 2\end{array}$$

A)(0, 0)
B)(1, -1)
C)(-1, 0)
D)no solution

Question 27

Solve the system of equations using the addition method.

- $$\begin{array} { c } 4 x - 4 y = 2 \\- 8 x + 8 y = - 8\end{array}$$

A)(4, 2)
B)(2, 4)
C) $\left( \frac { 2 } { 3 } , - \frac { 2 } { 3 } \right)$
D)no solution

Question 28

Find the solution to the system of equations by substitution.

- $$\begin{array} { l } x + 2 y + 5 z = 10 \\5 y + 4 z = 19 \\z = 1\end{array}$$

A)(-1, 3, 1)
B)(1, 3, -1)
C)(3, -1, 1)
D)(-1, 1, 3)

Question 29

Solve the system of equations using the addition method.

- $$\begin{array} { l } 5 x + 6 y = - 7 \\- 5 x - 13 y = 21\end{array}$$

A)(5, 2)
B)(1, -2)
C)(-1, 2)
D)(-5, -2)

Question 30

Solve the system of equations using the addition method.

- $$\begin{array} { l } - 3 x - 2 y = 4 \\- 6 y = 12 + 9 x\end{array}$$

A)(-3, -2)
B)(0, 0)
C)infinite number of solutions
D)no solution

Question 31

Solve the system of equations using the addition method.

- $$\begin{array} { l } 3 x + \frac { 1 } { 2 } y = 0 \\\\2 x + \frac { 5 } { 2 } y = 13\end{array}$$

A)(-1, 6)
B)(0, 5)
C)(1, 5)
D)no solution

Question 32

Solve the system of equations using the addition method.

- $$\begin{array} { l } x + y = - 2 \\2 x + 2 y + 4 z = 16 \\x - z = - 9\end{array}$$

A)(-4, 2, 5)
B)(5, 2, -4)
C)(5, -4, 2)
D)(-4, 5, 2)

Question 33

Solve the system of equations using the addition method.

- $$\begin{array} { l } x + y + z = - 7 \\x - y + 5 z = - 21 \\4 x + y + z = - 22\end{array}$$

A)(-3, -5, 1)
B)(1, -5, -3)
C)(-3, 1, -5)
D)(-5, 1, -3)

Question 34

Solve the system of equations using the addition method.

- $$\begin{array} { r } 5 x + 35 y = 35 \\9 x - 5 y = - 5\end{array}$$

A)(1, 0)
B)(1, 1)
C)(0, 0)
D)(0, 1)

Question 35

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars. Use
the information in the figure to answer the question.
The company's cost for manufacturing x binoculars is determined by the equation y = x + 1500. The revenue for selling x binoculars is determined by the equation y = 3x. The break-even point is the point at which the cost
And revenue equations intersect. At the break-even point both cost and revenue are what?

A)$750
B)$2700
C)$2250
D)$1500

Question 36

Find the solution to the system of equations by substitution.

- $$\begin{array} { l } y = \frac { 5 } { 6 } x - \frac { 1 } { 6 } \\5 x - 6 y = - 3\end{array}$$

A)(5, 6)
B)(-1, -3)
C)infinite number of solutions
D)no solution

Question 37

Solve the system of equations using the addition method.

- $$\begin{array} { l } \frac { 1 } { 2 } x + \frac { 1 } { 2 } y = - 4 \\\\\frac { 1 } { 3 } x - \frac { 1 } { 3 } y = 2\end{array}$$

A)(1, -6)
B)(-2, -6)
C)(-1, -7)
D)no solution

Question 38

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars. Use
the information in the figure to answer the question.
The company's cost for manufacturing x binoculars is determined by the equation y = x + 1500. The revenue for selling x binoculars is determined by the equation y = 3x. The break-even point is the point at which the cost
And revenue equations intersect. How many binoculars must be produced and sold for the company to break
Even?

A)750 binoculars
B)1500 binoculars
C)2700 binoculars
D)2250 binoculars

Question 39

Solve the system of equations using the addition method.

- $$\begin{array} { l } y + 2 z = 7 \\- 4 x + y + 5 z = 6 \\- 2 x + 5 z = 17\end{array}$$

A)(9, 7, 7)
B)(4, -3, 5)
C)(9, -2, 7)
D)(4, -5, 6)

Question 40

Solve the system of equations using the addition method.

- $$\begin{array} { l } x - y + 2 z = 3 \\5 x + z = 0 \\x + 5 y + z = - 15\end{array}$$

A)(0, 0, -3)
B)(0, -3, 3)
C)(-3, 0, 0)
D)(0, -3, 0)

Question 41

Determine whether the system is inconsistent, dependent, or neither.

- $$\begin{array} { l } x - y + 2 z = - 2 \\4 x + z = 0 \\- x + y - 2 z = 4\end{array}$$

A)dependent
B)inconsistent
C)neither

Question 42

Solve the problem.
Two planes are parallel to each other and the third plane intersects each of the other two planes as illustrated below. Is the system consistent, inconsistent, or dependent?

A)consistent, dependent
B)consistent, not dependent
C)inconsistent

Question 43

Solve the problem.
The Little Town Fine Arts Center charges $25 per adult and $13 per senior citizen for its performances. On a recent weekend evening when 469 people paid admission, the total receipts were $7345. How many who paid
Were senior citizens?

A)275 senior citizens
B)365 senior citizens
C)104 senior citizens
D)194 senior citizens

Question 44

Determine whether the system is inconsistent, dependent, or neither.

- $$\begin{array} { l } x + y + z = - 5 \\x - y + 3 z = - 15 \\5 x + 5 y + 5 z = - 13\end{array}$$

A)dependent
B)inconsistent
C)neither

Question 45

Solve the system of equations using the addition method.

- $$\begin{array} { l } 4 x + y + \frac { 3 } { 2 } z = 14 \\\frac { 3 } { 2 } x + 3 z = - 3 \\x + 4 y = - 10\end{array}$$

A)(6, -4, -4)
B)(2, -23, -6)
C)(2, -3, -4)
D)(-2, -3, -1)

Question 46

Solve the problem.
A chemist needs 140 milliliters of a 70% solution but has only 66% and 94% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

A)123 ml of 66%; 17 ml of 94%
B)20 ml of 66%; 120 ml of 94%
C)120 ml of 66%; 20 ml of 94%
D)17 ml of 66%; 123 ml of 94%

Question 47

Solve the system of equations using the addition method.

- $$\begin{array} { l } 7 x + 7 y + z = 1 \\x + 8 y + 8 z = 8 \\9 x + y + 9 z = 9\end{array}$$

A)(0, 0, 1)
B)(-1, 1, 1)
C)(1, -1, 1)
D)(0, 1, 0)

Question 48

Determine whether the system is inconsistent, dependent, or neither.

- $$\begin{array} { l } 2 x + y = - 1 \\3 y - 4 z = - 25 \\2 x + 4 y - 4 z = - 26\end{array}$$

A)dependent
B)inconsistent
C)neither

Question 49

Solve the problem.
Mr. Alexander earns a weekly salary plus a commission from his position as a salesman. One week his total compensation on sales of $4000 was $640. The next week his total compensation on sales of $3000 was $600.
Find Mr. Alexander's weekly salary and his commission rate.

A)weekly salary: $400
B)weekly salary: $490 commission rate: 4.8% commission rate: 3%
C)weekly salary: $470
D)weekly salary: $480 commission rate: 5% commission rate: 4%

Question 50

Solve the system of equations using the addition method.

- $$\begin{array} { l } - 0.2 x + 0.3 y - 0.3 z = - 2.8 \\0.4 x - 0.1 y + 0.2 z = 2 \\- 0.2 x - 0.4 y + 0.4 z = 2.8\end{array}$$

A)(2, -4, 4)
B)(-0.6, 8, 5)
C)(-0.6, 10, 4)
D)(-0.4, 10, 5)

Question 51

Solve the problem.
Jancie has $180,000 to invest to obtain annual income. She wants some of it invested in safe Certificates of Deposit yielding 7%. The rest she wants to invest in AA bonds yielding 11% per year. How much should she
Invest in each to realize exactly $17,400 per year?

A)$120,000 at 7% and $60,000 at 11%
B)$120,000 at 11% and $60,000 at 7%
C)$110,000 at 7% and $70,000 at 11%
D)$130,000 at 11% and $50,000 at 7%

Question 52

Solve the problem.
Three solutions to the equation Ax + By + Cz = 14 are (5, -4, 1), (1, 3, 0), and (3, 1, -4). Determine the values of A, B, and C and write the equation using the numerical values found.

A)A = 3, B = 5, C = 1; 3x + 5y + z = 14
B)A = 1, B = 3, C = 5; x + 3y + 5z = 14
C)A = 5, B = 3, C = 1; 5x + 3y + z = 14
D)A = 5, B = 1, C = 3; 5x + y + 3z = 14

Question 53

Solve the problem.
Three planes are parallel as illustrated below. Is the system consistent, inconsistent, or dependent?

A)consistent, not dependent
B)consistent, dependent
C)inconsistent

Question 54

Solve the problem.
Three planes intersect as illustrated below. Is the system consistent, inconsistent, or dependent?

A)consistent, not dependent
B)consistent, dependent
C)inconsistent

Question 55

Determine whether the system is inconsistent, dependent, or neither.

- $$\begin{array} { l } 3 x + y - 4 z = 0 \\- x - 2 y + 2 z = 4 \\5 x + 5 y - 8 z = - 8\end{array}$$

A)inconsistent
B)dependent
C)neither

Question 56

Solve the problem.
Marcus earned $6900 during his summer vacation. He invested part of the money at 9% and the rest at 6%. If he received a total of $519 in interest at the end of the year, how much was invested at 9%?

A)$3450
B)$1150
C)$3500
D)$3400

Question 57

Solve the problem.
A twin-engined aircraft can fly 612 miles from city A to city B in 3 hours with the wind and make the return trip in 6 hours against the wind. What is the speed of the wind?

A)51 mph
B)34 mph
C)85 mph
D)68 mph

Question 58

Solve the problem.
Three planes intersect as illustrated below. Is the system consistent, inconsistent, or dependent?

A)inconsistent
B)consistent, dependent
C)consistent, not dependent

Question 59

Solve the problem.
The manager of a candy shop sells chocolate covered peanuts for $10 per pound and chocolate covered cashews for $14 per pound. The manager wishes to make a 120-pound cashew-peanut mixture that will sell for $11 per
Pound. How many pounds of each should be used?

A)60 pounds of peanuts
B)75 pounds of peanuts 60 pounds of cashews 45 pounds of cashews
C)90 pounds of peanuts
D)30 pounds of peanuts 30 pounds of cashews 90 pounds of cashews

Question 60

Solve the problem.
Two angles are complementary if the sum of their measures is 90°. The measure of the first angle is 42° less than two times the second angle. Find the measure of each angle.

A)first angle = 51.6°
B)first angle = 63.6° second angle = 38.4° second angle = 26.4°
C)first angle = 26.4°
D)first angle = 38.4° second angle = 63.6° second angle = 51.6°

Question 61

Solve the problem.
Two cars leave a city and head in the same direction. After 7 hours, the faster car is 28 miles ahead of the slower car. The slower car has traveled 343 miles. Find the speeds of the two cars.

A)45 mph and 49 mph
B)49 mph and 53 mph
C)40 mph and 44 mph
D)51 mph and 55 mph

Question 62

Solve the system using matrices.

- $$\begin{array} { c } x + 7 y = 51 \\- 4 x + 6 y = 0\end{array}$$

A)(8, 7)
B)(-9, 7)
C)(9, 6)
D)dependent system

Question 63

Solve the problem.

-The sum of the measures of the angles of a triangle is 180°. The smallest angle of the triangle has a measuree $$\frac { 3 } { 5 }$$ the measure of the second smallest angle. The largest angle is 9° less than eleven times the measure of the second smallest angle. Determine the measure of each angle.

A)smallest angle: 3°
B)smallest angle: 18° second smallest angle: 15° second smallest angle: 30°
Largest angle: 162° largest angle: 132°
C)smallest angle: 7.2°
D)smallest angle: 9° second smallest angle: 12° second smallest angle: 15°
Largest angle: 160.8° largest angle: 156°

Question 64

Solve the system of equations using determinants.

- $$\begin{array} { l } 3 x + 3 y = 45 \\2 x - 3 y = - 15\end{array}$$

A)(-6, -9)
B)(-9, 6)
C)(9, 6)
D)(6, 9)

Question 65

Solve the system using matrices.

- $$\begin{array} { l } 5 x + 4 y = 32 \\- 9 x + 7 y = - 86\end{array}$$

A)(7, -1)
B)(8, -2)
C)(-8, -1)
D)inconsistent system

Question 66

Solve the system using matrices.

- $$\begin{array} { l } 5 x - 4 y - z = - 3 \\x - 2 y - 2 z = - 24 \\- 8 x + y + z = - 48\end{array}$$

A)(8, 7, 9)
B)(8, 9, 7)
C)(-8, 9, 16)
D)inconsistent system

Question 67

Solve the system using matrices.

- $$\begin{array} { l } - 3 x - y - 2 z = - 38 \\9 x + 9 z = 117 \\2 y + z = 16\end{array}$$

A)(-7, 5, 14)
B)(7, 6, 5)
C)(7, 5, 6)
D)inconsistent

Question 68

Solve the problem.
Ms. Adams received a bonus check for $15,000. She decided to divide the money among three different investments. With some of the money, she purchased a municipal bond paying 5.5% simple interest. She
Invested twice the amount she paid for the municipal bond in a certificate of deposit paying 4.4% simple
Interest. Ms. Adams placed the balance of the money in a money market account paying 3.1% simple interest. If
Ms. Adams' total interest for one year was $540, how much was placed in each account?

A)municipal bond: $1250
B)municipal bond: $2000 certificate of deposit: $2500 certificate of deposit: $4000
Money market: $11,250 money market: $9000
C)municipal bond: $1000
D)municipal bond: $1500 certificate of deposit: $2000 certificate of deposit: $3000
Money market: $12,000 money market: $10,500

Question 69

Solve the system using matrices.

- $$\begin{array} { l } 4 x + y = 10 \\- 4 y + 3 z = 20 \\8 x - 2 y + 3 z = 40\end{array}$$

A)(3, -2, 5)
B)(2, -2, 4)
C)dependent system
D)inconsistent system

Question 70

Evaluate the determinant.

- $$\left| \begin{array} { l l } 9 & 2 \\4 & 7\end{array} \right|$$

A)55
B)-55
C)71
D)-10

Question 71

Evaluate the determinant.

- $$\left| \begin{array} { c c } \frac { 1 } { 5 } & - \frac { 1 } { 10 } \\10 & 5\end{array} \right|$$

A)-2
B)0
C)2
D) $\frac { 5 } { 2 }$

Question 72

Solve the problem.
The Little Town Arts Center charges $22 for adults, $18 for senior citizens, and $7 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $11,615 for 755 tickets sold.
There were 44 more children than adults. How many children attended?

A)257 children
B)285 children
C)213 children
D)247 children

Question 73

Solve the system of equations using determinants.

- $$\begin{array} { l } 2 x - 2 y = - 2 \\2 y + 4 x = 20\end{array}$$

A)(3, 4)
B)(-4, 3)
C)(4, 3)
D)infinite number of solutions

Question 74

Solve the system using matrices.

- $$\begin{array} { l } x + y + z = - 4 \\x - y + 4 z = 19 \\2 x + 2 y + 2 z = - 9\end{array}$$

A)(5, -4, -5)
B)(5, -5, -4)
C)dependent system
D)inconsistent system

Question 75

Solve the system of equations using determinants.

- $$\begin{array} { l } 6 x + 5 y = - 15 \\5 x + y = - 22\end{array}$$

A)(3, -5)
B)(-5, 3)
C)(-3, -5)
D)no solution

Question 76

Evaluate the determinant.

- $$\left| \begin{array} { r r } 3 & 2 \\- 1 & 1\end{array} \right|$$

A)-5
B)1
C)5
D)7

Question 77

Solve the problem.
A ceramics workshop makes serving bowls, platters, and bread baskets to sell at its Winter Festival. A serving bowl takes 3 hours to prepare, 2 hours to paint, and 8 hours to fire. A platter takes 15 hours to prepare, 3 hours
To paint, and 4 hours to fire. A bread basket takes 4 hours to prepare, 14 hours to paint, and 7 hours to fire. If the
Workshop has 101 hours for prep time, 55 hours for painting, and 82 hours for firing, how many of each can be
Made?

A)2 serving bowls, 6 platters, 5 bread baskets
B)7 serving bowls, 6 platters, 3 bread baskets
C)6 serving bowls, 5 platters, 2 bread baskets
D)5 serving bowls, 2 platters, 6 bread baskets

Question 78

Solve the problem.
A student is asked to construct a triangle that satisfies the following criteria. The sum of the first and second angles is 90° more than the measure of the third angle. If the measure of the third angle is subtracted from the
Measure of the second angle, the result is twice the measure of the first angle. Find the measure of each angle of
The triangle.

A)First angle is 30°, second angle is 105°, third angle is 45°
B)First angle is 28°, second angle is 105°, third angle is 43°
C)First angle is 34°, second angle is 107°, third angle is 39°
D)First angle is 36°, second angle is 101°, third angle is 43°

Question 79

Solve the system using matrices.

- $$\begin{array} { l } 3 x + 4 y = 10 \\4 x - 2 y = - 16\end{array}$$

A)(4, -2)
B)(-2, 4)
C)(-2, -4)
D)inconsistent system

Question 80

Evaluate the determinant.

- $$\left| \begin{array} { l l } - 6 & 5 \\- 2 & 2\end{array} \right|$$

A)-2
B)-26
C)-22
D)2