Verify that the values of the variables listed are solutions of the system of equations.
-$$\left\{ \begin{array} { c }
x - y + 3 z = - 20 \
4 x + z = - 5 \
x + 2 y + z = 5 \
\end{array} \right.$$

x = 0 , y = 5 , z = - 5

A) solution
B) not a solution

Question

Verify that the values of the variables listed are solutions of the system of equations.
-$$\left\{ \begin{array} { c } 
x - y + 3 z = - 20 \
4 x + z = - 5 \
x + 2 y + z = 5 \
\end{array} \right.$$

x = 0 , y = 5 , z = - 5

A) solution
B) not a solution

Quizplus · Accepted Answer

Substituting $x = 0$, $y = 5$, and $z = -5$ into each equation: 1) $0 - 5 + 3(-5) = -20$, 2) $4(0) + (-5) = -5$, 3) $0 + 2(5) + (-5) = 5$. All equations are satisfied, confirming the values as a solution.

Verify That the Values of the Variables Listed Are Solutions {x−y+3z=−204x+z=−5x+2y+z=5\left\{ \begin{array} { c } x - y + 3 z = - 20 \\4 x + z = - 5 \\x + 2 y + z = 5 \\\end{array} \right.⎩⎨⎧​x−y+3z=−204x+z=−5x+2y+z=5​

Verify That the Values of the Variables Listed Are Solutions $\left\{ \begin{array} { c } x - y + 3 z = - 20 \\4 x + z = - 5 \\x + 2 y + z = 5 \\\end{array} \right.$