Answer
$(6,2)$
Work Step by Step
Given that $3x-5y=8$ and $2x+5y=22$
Adding both equations, we get $5x=30$ and thus $x=6$ (Elimination)
Substituting the value of x in equation 2: $12+5y=22$
This becomes $5y=10$ and $y=2$
Thus, we get $(6,2)$ as a solution.