Solve the system of equations. explain each step.

2x-3y=13
x-2y=-4

Substitution...
x - 2y = -4x = 2y - 4
so we sub in 2y - 4 for x into the other equation
2x - 3y = 13
2(2y - 4) - 3y = 13
4y - 8 - 3y = 13
4y - 3y = 13 + 8
y = 21

x - 2y = -4
x - 2(21) = -4
x - 42 = -4
x = 42 - 4
x = 38

solution is (38,21)

elimination...
2x - 3y = 13
x - 2y = -4multiply by -2

2x - 3y = 13
-2x + 4y = 8 (result of multiplying by -2)

y = 21

2x - 3y = 13
2x - 3(21) = 13
2x - 63 = 13
2x = 13 + 63
2x = 76
x = 76/2
x = 38
solution is (38,21)