y = 2x - 2
x + 3y = 15
I'll do substitution by solving for y:
y = 2x - 2
Solve for y for the second equation:
y = 5 - x/3
Substitute:
2x - 2 = 5 - x/3
Add x/3 to both sides:
7x/3 - 2 = 5
Add 2:
7x/3 = 7
Multiply by 3:
7x = 21
Divide by 7:
x = 3
Substitute x in for one of the original equations:
y = 2(3) - 2
y = 6 - 2
y = 4
The solution set is (3, 4).