4x+2y=10
x-y=13
Solve the second equation for x:
x = 13+y
Replace x=13+y in the first equation, and solve for y:
4 (13+y) + 2y = 10
52+4y+2y=10
Combine like terms
4y+2y = 10 - 52
6y= -42
y= -42/6
y= -7
Replace y=-7 on any equation and solve for x:
x-y=13
x-(-7) =13
x+7 =13
x=13-7
x= 6
Solution: (6,-7)