Use substitution to solve the system.

3x-2y = 17

x = 3y+15

3x - 2y = 17

substitute x with 3y+15

3 (3y+15) - 2y = 17

use the distributive property

9y + 45 - 2y = 17

combine like terms 9y and - 2y

7y + 45 = 17

subtract 45 from both sides

7y = - 28

divide both sides 7 to isolate the variable, y.

y = - 4

To solve for x:

x = 3y + 15

plug in - 4 for y

x = 3 (-4) + 15

multiply

x = - 12 + 15

add

x = 3