$\left\{ \begin{aligned}
4 x - y + 3 z & = 12 \
2 x + 9 z & = - 5 \
x + 4 y + 6 z & = - 32
\end{aligned} \right.$
A) x=2, y=7, z=-1
B) x=2, y=-7, z=1
C) x=2, y=7, z=1
D) x=2, y=-7, z=-1

Name: $\left\{ \begin{aligned} 4 x - y + 3 z & = 12 \\ 2 x + 9 z & = - 5 \\ x + 4 y + 6 z & = - 32 \end{aligned} \right.$ A) x=2, y=7, z=-1 B) x=2, y=-7, z=1 C) x=2, y=7, z=1 D) x=2, y=-7, z=-1
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Question

$\left\{ \begin{aligned}
4 x - y + 3 z & = 12 \
2 x + 9 z & = - 5 \
x + 4 y + 6 z & = - 32
\end{aligned} \right.$
A)  x=2, y=7, z=-1 
B)  x=2, y=-7, z=1 
C)  x=2, y=7, z=1 
D)  x=2, y=-7, z=-1

Quizplus · Accepted Answer

Substituting x=2, y=-7, z=-1 into the equations satisfies all three equations.

{4x−y+3z=122x+9z=−5x+4y+6z=−32\left\{ \begin{aligned}4 x - y + 3 z & = 12 \\2 x + 9 z & = - 5 \\x + 4 y + 6 z & = - 32\end{aligned} \right.⎩⎨⎧​4x−y+3z2x+9zx+4y+6z​=12=−5=−32​

$\left\{ \begin{aligned}4 x - y + 3 z & = 12 \\2 x + 9 z & = - 5 \\x + 4 y + 6 z & = - 32\end{aligned} \right.$