Substitution Method:
3x - 10 = 2x - 5
3x = 2x + 5
x = 5
Now solving for y:
y = 3x - 10
y = 3(5) - 10
y = 15 - 10
y = 5
(x, y) = (5, 5)
Check answer:
5 = 3(5) - 10
5 = 15 - 10
5 = 5
5 = 2(5) - 5
5 = 10 - 5
5 = 5
Since all of the equalities are true, (5, 5) is a true solution