Question

Find x if y=-2
4x-6/y=15

Answer 1

Do you have any ideas? What might you think to do first?

Answer 2

I think subtract 4x in both sides

Answer 3

So, if we do that, what will we have then?

Answer 4

idk that's the part I don't get

Answer 5

OK, good. We'll start there.

You have 4x - 6/y = 15.
By subtracting 4x from both sides we are saying:
4x - 6/y - 4x = 15 - 4x.

The left side has a nice cancellation,
4x - 4x - 6/y = 15 - 4x
0 - 6/y = 15 - 4x

-6/y = 15 - 4x
This is what is left after subtracting 4x from both sides. Does that make sense so far?

Answer 6

whats the answer though I need to find x

Answer 7

Good! That's what I was going to ask next. The question wants us to find x. But we have a weird y in the equation. Do we know anything about y?

Answer 8

you need to take out y

Answer 9

That would be nice. Look at the question too. It seems to tell us that y = -2.

Answer 10

So, we are allowed to replace any y's we see with a -2 instead.

Answer 11

This means that
-6/y = 15 - 4x

is really the same as
-6/-2 = 15 - 4x

which is a little easier.

Answer 12

Any questions on that part so far?