Answer
$x=3$
$y=-1$
Work Step by Step
First, we have to solve the first equation for $y$ and after that, we can substitute this expression in the second equation:
$3x-y=10$
$y=3x-10$
$2x+5(3x-10)=1$
$17x-50=1$
$17x=51$
$x=3$
$y=3x-10=3(3)-10=-1$
We need to check, if it is the right solution, we substitute x with $3$ and y with $-1$:
$3(3)-(-1)=10$ $\checkmark$
$2(3)+5(-1)=1$ $\checkmark$