Answer
See below
Work Step by Step
Given: $4x+5y=2\\-3x+2y=33$
Multiply the first equation by $3$:
$12x+15y=6$
Multiply the second equation by $4$:
$-12x+8y=132$
Then combine $23y=138\\
\rightarrow y=6$
Substitute: $4x+5(6)=2\\
\rightarrow 4x=-28\\
\rightarrow x=-7$