Answer
The error is $-13$ and the correct answer is $y=\frac{60}{11}$.
Work Step by Step
The given system of equations is
$4x+3y=8$ ...... (1)
$x-2y=-13$ ...... (2)
Multiply equation (2) by $-4$.
$-4(x-2y)=-4(-13)$
Use distributive property.
$-4x+8y=52$ ...... (3)
Add equation (1) and (3).
$\Rightarrow 4x+3y-4x+8y=8+52$
Simplify.
$\Rightarrow 11y=60$
Divide each side by $11$.
$\Rightarrow \frac{11y}{11}=\frac{60}{11}$
Simplify.
$\Rightarrow y=\frac{60}{11}$
Hence, the error is $-13$ and the correct answer is $y=\frac{60}{11}$.
