Problem: x+y=4 2x-y=2
x + y = 4
y = -x + 4
2x - y = 2
2x - (-x + 4) = 2
2x + x - 4 = 2
3x - 4 = 2
3x - 4 + 4 = 2 + 4
3x = 6
3x/3 = 6/3
x = 2
Solve for y.
y = -x + 4
y = -2 + 4
y = 2
Check.
x + y = 4
2 + 2 = 4
4 = 4
Answer: x = 2, y = 2
Point of intersection: (2, 2)