Solve the system of linear equations:
$\begin{aligned} 3 x-6 y & =-39 \\ -4 x+8 y & =52\end{aligned}$

Answer

Expert–verified

Hide Steps

Answer

$\boxed{\text{Solution: }(13, 2)}$

Steps

Step 1 ：$1^{st}$ equation $3x - 6y = -39$

Step 2 ：$2^{nd}$ equation $-4x + 8y = 52$

Step 3 ：Add $1^{st}$ and $2^{nd}$ equation: $(3x - 6y) + (-4x + 8y) = -39 + 52$

Step 4 ：Solve for $x$: $x = 13$

Step 5 ：Substitute $x$ into the $1^{st}$ equation: $3(13) - 6y = -39$

Step 6 ：Solve for $y$: $y = 2$

Step 7 ：$\boxed{\text{Solution: }(13, 2)}$