2x + 6 = 3y
x + 12 = 4y
Solve the second equation for x:
x = 4y - 12
Substitute in the first equation.
2(4y - 12) + 6 = 3y
8y - 24 + 6 = 3y
8y - 18 = 3y
5y = 18
y = 18/5
x + 12 = 4y
x + 12 = 4(18/5)
x = 72/5 - 60/5
x = 12/5
Answer: x = 12/5; y = 18/5
