
Multiply 2 in the 5x+y=32 so that we can eliminate the "y"

From 5x(2)+(2)y=32(2), 

Then start eliminating the y,
[3x+10x = 13x] [-2y+2y = 0] [14+64 = 78]

Therefore,
but we are not done yet, we need to find the value of y.
Substitute x = 6 in any equations but only one equation so I'll substitute in 5x+y=32 instead.

Therefore, y = 2.
So the answer is x = 6, y = 2 or (6,2)