You can use substitution to solve this. Let's look at the 2nd equation. 2x+3y=29. In the first equation, we know that x=12-y. So, substitute that in for the 2nd equation. Do that and we have 2(12-y)+3y=29. Distribute the 2. 24-2y+3y=29. Combine like terms. 24+1y=29 Subtract the 24, then subtract on the other side of the equation too. 24-24=0, 29-24=5 So now we know that y=5. Substitute this for the first equation now to find x. x=12-5 x=7 Final answer: (7,5) or x=7 y=5