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- anonymous

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

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- anonymous

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

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- jtvatsim

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

- anonymous

I think subtract 4x in both sides

- jtvatsim

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

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- anonymous

idk that's the part I don't get

- jtvatsim

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?

- anonymous

whats the answer though I need to find x

- jtvatsim

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?

- anonymous

you need to take out y

- jtvatsim

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

- jtvatsim

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

- jtvatsim

This means that
-6/y = 15 - 4x
is really the same as
-6/-2 = 15 - 4x
which is a little easier.

- jtvatsim

Any questions on that part so far?

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