Question

Question about a rational expression

The equation is -9=6/v

In the explanation, it tells me to multiply v on both sides. My question is why do you multiply v on both sides and not 6?

When I did the problem I multiplied 6 on both sides and got -54=v, but apparently the answer is -2/3 so I’m confused as to why you multiply v on both sides and not 6.

Answer 1

-9=6/v

You have to multiply v both sides because
6/v x v = 6 and helps you get rid of the v on the right side.
If you multiply by 6, 6/v x 6 = 36/v, that’s why it don’t work.

Answer:
-9=6/v
-9v=6
v=-6/9
v=-2/3