Verify that the values of the variables listed are solutions of the system of equations.
-$$\left\{ \begin{array} { r }
x - y + 4 z = - 3 \
3 x + z = - 2 \
x + 2 y + z = - 12 \
\end{array} \right.$$
x = 0 , y = - 5 , z = - 2

A) solution
B) not a solution

Question

Verify that the values of the variables listed are solutions of the system of equations.
-$$\left\{ \begin{array} { r } 
x - y + 4 z = - 3 \
3 x + z = - 2 \
x + 2 y + z = - 12 \
\end{array} \right.$$
x = 0 , y = - 5 , z = - 2

A) solution
B) not a solution

Quizplus · Accepted Answer

Substituting $x = 0$, $y = -5$, and $z = -2$ into each equation: 1. $0 - (-5) + 4(-2) = 5 - 8 = -3$, 2. $3(0) + (-2) = -2$, 3. $0 + 2(-5) + (-2) = -10 - 2 = -12$. All equations are satisfied, thus the values are a solution.

Verify That the Values of the Variables Listed Are Solutions {x−y+4z=−33x+z=−2x+2y+z=−12\left\{ \begin{array} { r } x - y + 4 z = - 3 \\3 x + z = - 2 \\x + 2 y + z = - 12 \\\end{array} \right.⎩⎨⎧​x−y+4z=−33x+z=−2x+2y+z=−12​

Verify That the Values of the Variables Listed Are Solutions $\left\{ \begin{array} { r } x - y + 4 z = - 3 \\3 x + z = - 2 \\x + 2 y + z = - 12 \\\end{array} \right.$