I need to figure out how many solutions this equation has

3y-6x=12
y-2x=4

Honestly... no idea how to do this, we did it early this quarter but i need to know for my final...

There's infinitely many solutions, because if you convert both of the equations to slope-intercept form, you get:

y = 2x+4 for both

If the equation is the same, then there are many answers.

You have 2 equations, with 2 unknown things, the value for x and the value for y.Therefore there is going to be 2 answers. One answer will be x=, and the other answer will be y=.

To find out what x equals and what y equals, just stuff one of the equations into the other and the answer will come out properly.

Let's try it:

Take y-2x=4 and juggle it around so that you get y=2x+4 and put this into the first equation.
This will look like this:

3(2x+4)-6x=12 then , crank the machine and you will get:

6x+12-6x=12 Hey, they sure fooled me because x was equal to 0, that is zero.

Now put zero into the second equation as the value for x and crank the numbers to get what y equals. You will get equals 4.

So there are 2 answers; x=0 and y=4


You know, I just realized that I am wrong. And you know why. Because I never did find a value for x, like x=. You know what, I just realized that both equations are the same. If you take the first equation and divide it by 3, you find it is y-2x=4, which is the same as the second equation.. So the answer is there is no solution, and no answers. Sorry about such a dumb assignment.