Question 1

Solve the system of equations.
3x - 2y + 4z = 12
-5x - y - z = -10
-3x - 5y - 3z = -4

Accepted Answer

{(2, -1, 1)}

Question 2

Solve by graphing. Label each line and the solution point.

Accepted Answer

The answer of Solve by graphing. Label each line and...

Question 3

Solve the system of linear equations by the substitution method.

Accepted Answer

The answer of Solve the system of linear equations by...

Question 4

Fred, Tiger, and Nancy play a round of golf together. Their combined score is 226. Fred's score was 5 more than Tiger's, and Nancy's score was 9 more than Fred's. What was each person's score?

Accepted Answer

The answer of Fred, Tiger, and Nancy play a round...

Question 5

Solve the system of linear equations.

Accepted Answer

The answer of Solve the system of linear equations. ...

Question 6

When rolling a pair of dice, the probability of getting a particular total is not very high. For example, the probability of failing to roll a total of 3 is 17 times the probability of successfully rolling a total of 3. The total probability (probability of failing to roll a 3 + probability of successfully rolling a 3) is 1. What is the probability of rolling a 3?

Accepted Answer

The answer of When rolling a pair of dice, the...

Question 7

Solve the system of equations.

Accepted Answer

The answer of Solve the system of equations. ...

Question 8

Cashews sell for $5 per pound and peanuts sell for $2 per pound. How many pounds of each would you use to make 15 pounds of a mixture that sells for $3.20 per pound?

Accepted Answer

The answer of Cashews sell for $5 per pound and...

Question 9

Solve the system of linear equations by the substitution method.
-5x = -2y + 9
5x + 5y = -30

Accepted Answer

The answer of Solve the system of linear equations by...

Question 10

Suzanne invested $14,300 in two mutual fund accounts: the Abernathy Fund and the Brice Fund. During the subsequent year, The Abernathy Fund earned 4% and the Brice account earned 5%. At the end of the year, the total interest earned was $672. How much did Suzanne invest in each fund?

Accepted Answer

The answer of Suzanne invested $14,300 in two mutual fund...

Question 11

Solve the system of equations.
-3.5x + 3y = -5.375
-0.875x - 0.5y = 0.53125

Accepted Answer

The answer of Solve the system of equations.
-3.5x + 3y...

Question 12

For Monday morning's staff meeting, Jim bought 2 bags of bagels and 3 packages of cream cheese and paid $9.00 (excluding sales tax). For Friday's meeting, he bought 4 bags of bagels and 2 packages of cream cheese and paid $10.00 (again, excluding sales tax). How much do bags of bagels and packages of cream cheese cost?

Accepted Answer

The answer of For Monday morning's staff meeting, Jim bought...

Question 13

For the system find the value of a so that the solution set to the system is {(4, 7)}.

Accepted Answer

The answer of For the system find the value of...

Question 14

Solve the system of equations.
-x + 5y - 3z = 31
-4x - 5y + 4z = 6
3x - 15y + 9z = -91

Accepted Answer

The answer of Solve the system of equations.
-x + 5y...

Question 15

Solve the system of linear equations by the substitution method. Then, state whether the system is independent, dependent, or inconsistent.
4x - 3y = 4
12x - 9y = 12

Accepted Answer

The answer of Solve the system of linear equations by...

Quiz 7: Section 2: Systems of Linear Equations

Solve the system of equations. 3x - 2y + 4z = 12 -5x - y - z = -10 -3x - 5y - 3z = -4

Solve by graphing. Label each line and the solution point.

Solve the system of linear equations by the substitution method.

Fred, Tiger, and Nancy play a round of golf together. Their combined score is 226. Fred's score was 5 more than Tiger's, and Nancy's score was 9 more than Fred's. What was each person's score?

Solve the system of linear equations.

Solve the system of equations.

Cashews sell for $5 per pound and peanuts sell for $2 per pound. How many pounds of each would you use to make 15 pounds of a mixture that sells for $3.20 per pound?

Solve the system of linear equations by the substitution method. -5x = -2y + 9 5x + 5y = -30

Suzanne invested $14,300 in two mutual fund accounts: the Abernathy Fund and the Brice Fund. During the subsequent year, The Abernathy Fund earned 4% and the Brice account earned 5%. At the end of the year, the total interest earned was $672. How much did Suzanne invest in each fund?

Solve the system of equations. -3.5x + 3y = -5.375 -0.875x - 0.5y = 0.53125

For the system find the value of a so that the solution set to the system is {(4, 7)}.

Solve the system of equations. -x + 5y - 3z = 31 -4x - 5y + 4z = 6 3x - 15y + 9z = -91

Solve the system of linear equations by the substitution method. Then, state whether the system is independent, dependent, or inconsistent. 4x - 3y = 4 12x - 9y = 12