One more I think!

We got this!

We have a systems of linear equations here. We need to use substitution, which means we isolate a variable and then solve for the other variable.

I will isolate the y in 4x + y = 12. Firstly, we need to subtract 4x from both sides. This gives us y = -4x + 12. Next, we need to plug y into the other equation. This gives us 6x - 7(-4x + 12) = -16. Once we simplify that, we get 6x + 28x - 84 = -16. To simplify further, we get 34x - 84 = -16. Then, we need to add 84 to both sides. This gives us 34x = 68. Now, we need to divide both sides by 34. Our answer for x is x = 2.

We will now need to plug x into y = -4x + 12. Our equation is now y = -4(2) + 12. Once simplified, we get y = 4.

The answer is x = 12 and y = 4, or (12, 4).