Answer
See below
Work Step by Step
Given: $3x-4y=24\\x+2y=2$
Multiply both sides of the second equation by $2$:
$2x+4y=4$
Add it to the first equation:
$5x=28\\
\rightarrow x=\frac{28}{5}$
Find y: $\frac{28}{5}+2y=2\\
\rightarrow y=-\frac{9}{5}$