You can use elimination and substitution method
EXAMPLE :
Given :
2x + y = 5
3x - 5y = 1
2x + y = 5 (× -5)
3x - 5y = 1
__________
-10x - 5y = - 25
3x - 5y = 1
____________ _ (elimination)
-13x = - 26
x = - 26/-13
x = 2
Substitution x = 2 to 2x + y = 5 :
2x + y = 5
2(2) + y = 5
4 + y = 5
y = 5 - 4
y = 1