just subtract the two equations the two equations
-10x=-88-3y
6x= 24-3y
------------------
-16x=-112
x=-112/-16
x=7
substituting x=7
6*7=24-3y
42=24-3y
42-24=-3y
18=-3y
y=-6
to check we substitute x any in the first and the second equation
-70=-88+18
-70=-70
which is a correct equation
in the second equation
6*7=24-3(-6)
42=24+18
42=42
which makes our soultion correct