Solve the system of equations. $$\begin{aligned}
3 x + 2 z & = - 18 + 5 y \
8 y & = 4 x + 9 y + 6 \
y & = 3 x + 2 z + 10
\end{aligned}$$
A) $( - 2,2 , - 1 )$
B) $( - 2,0 , - 6 )$
C) $( 0,2 , - 4 )$
D) $( - 2,11,7 )$

Question

Quizplus · Accepted Answer

To solve the system, we can start by simplifying the second equation: $8y = 4x + 9y + 6$ becomes $y = 4x + 6$. Substituting $y = 4x + 6$ into the first and third equations, we can solve for $x$ and $z$. Substituting back into any equation will give us the values that satisfy all equations, leading to the solution $(-2, 2, -1)$.

Solve the System of Equations 3x+2z=−18+5y8y=4x+9y+6y=3x+2z+10\begin{aligned}3 x + 2 z & = - 18 + 5 y \\8 y & = 4 x + 9 y + 6 \\y & = 3 x + 2 z + 10\end{aligned}3x+2z8yy​=−18+5y=4x+9y+6=3x+2z+10​

Solve the System of Equations $\begin{aligned}3 x + 2 z & = - 18 + 5 y \\8 y & = 4 x + 9 y + 6 \\y & = 3 x + 2 z + 10\end{aligned}$