Question

Solve for x: 4x divided by x-3 = 2 + 12 divided by x-3 ...?

Answer 1

Is that correct that the numerator of the right side is 2+12? or is that 2x+12 ?

Answer 2

yes it's correct. but the 2 is not part of the numerator..just the 12

Answer 3

So is it like this?
\(\frac{4x}{x-3}=2+\frac{12}{x-3}\)

Answer 4

yes.

Answer 5

Ok, multiply the equation by \(x-3\) we get
\(4x=2(x-3)+12\)
\(4x=2x-6+12\)
\(2x=6\)
\(x=3\)
But if we plug in back \(x=3\) to the original equation we are in trouble because we divide by zero. So the equation has no solution!.

Answer 6

Thanks!