Question

what is the solution to the rational equation (3/2)-(1/(x-4))=(-2/(2x-8))

Answer 1

a.) no solution
b.) -4
c.) 2
d.) 4

Answer 2

\(\frac{3}{2} - \frac{1}{x-4} = \frac{-2}{2x-8}\)

Hint: Multiply the second fraction 1/(x-4) by 2/2

Answer 3

2/2x-8

Answer 4

Yes, and now you have

\(\frac{3}{2} - \frac{2}{2x-8} = \frac{-2}{2x-8}\)

What happens when you add \(\frac{2}{2x-8}\) to both sides?

Answer 5

it cancels

Answer 6

Well actually, you end up with

\(\frac{3}{2} = -\frac{2}{2x-8} + \frac{2}{2x-8}\)

Answer 7

Which basically becomes

\(\frac{3}{2} = 0\)

Which we know is not true, therefore, no solution

Answer 8

Is there something you wanted to say?

Answer 9

@millitarygirl96