Solve each system using substitution:

1. 4x - 5y = - 15

y = - 3x + 22

4x - 5y = - 15

y = - 3x + 22

Plug in your y = equation into the y variable in the other equation

4x - 5 (y) = - 15

^^

y = (-3x + 22) = - 15

4x - 5 (-3x + 22) = - 15

Distribute

4x + 15x - 110 = - 15

Combine like terms and add 110 over to - 15

19x = 95

Then, divide the whole equation by 19

x = 5

Then, plug in your x into your y = equation

y = - 3 (5) + 22

y = - 15 + 22

y = 7

x = 5

y = 7

(5, 7)