We don't actually want to substitute the $y=31-5x$ into the second equation I think you meant substitute into $y$. After this we get
$-3x+4(31-5x)=-37$ for the second equation. Distribute to get
$-3x+124-20x=-37$ Combine like terms to get
$-23x+124=-37$ Then we subtract $124$ from both sides resulting in
$-23x=-161$ Divide by $-23$ from both sides to get
$x=7$ Plug this into the first equation resulting in
$5(7)+y=31$ Distribute to get
$35+y=31$ Subtract $35$ from both sides to get
$y=-4$. So our answer is
$(7,-4)$