Two of the solutions for the equation 2x + 3y = 12 are (9

Well, to solve for x, you have to isolate it. I will show how to solve it, step-by-step below:

2x+3y=12

2x+3y-3y=12-3y

2x=-3y+12 ... divide both sides by 2

x=-3/2y+6

Now, to completely solve for x, you need to find what y is equal to. But to solve for y, you have to "get rid" of the x. You can use "-3/2y+6" in place of the x.

2 (-3/2y+6) + 3y=12

-6/2y+12+3y=12 ... simplify

-3y+12+3y=12 ... move the 12 to the other side

-3y+12-12+3y=12-12

-3y+3y=0 ... add like things

0=0

... oh. There is no solution ...

Let me try doing y first ...

2x+3y=12

3y=-2x+12

y=-2/3x+4

2x+3 (-2/3x+4) = 12

2x-6/3x+12=12

2x-2x=0

0=0

... yo ... what is going on ... are you sure you gave us the right numbers ... no typos?

X = - 3 / 2 y + 6 is the answer to your problem I think