Systems of Linear Equations in Three Variables
1 Verify the Solution of a System of Linear Equations in Three Variables
-$$\begin{array} { l }
( 4 , - 5 , - 4 ) \
4 x + 2 y + z = 2 \
5 x - 4 y - z = 44 \
3 x + y + 4 z = - 9
\end{array}$$
A) solution
B) not a solution

Question

Systems of Linear Equations in Three Variables
1 Verify the Solution of a System of Linear Equations in Three Variables
-$$\begin{array} { l } 
( 4 , - 5 , - 4 ) \
4 x + 2 y + z = 2 \
5 x - 4 y - z = 44 \
3 x + y + 4 z = - 9
\end{array}$$
A) solution
B) not a solution

Quizplus · Accepted Answer

To verify if (4, -5, -4) is a solution, substitute x=4, y=-5, and z=-4 into each equation and check if they hold true. For the first equation: 4(4) + 2(-5) + (-4) = 16 - 10 - 4 = 2. For the second equation: 5(4) - 4(-5) - (-4) = 20 + 20 + 4 = 44. For the third equation: 3(4) + (-5) + 4(-4) = 12 - 5 - 16 = -9. Since all equations are satisfied, (4, -5, -4) is indeed a solution.

Systems of Linear Equations in Three Variables 1 Verify the Solution

Systems of Linear Equations in Three Variables
1 Verify the Solution