Answer
No solutions.
Work Step by Step
We solve the equation:
$\displaystyle \frac{x+1}{x-1}=\frac{3x}{3x-6}$
$\displaystyle \frac{x+1}{x-1}=\frac{3x}{3(x-2)}$
$\displaystyle \frac{x+1}{x-1}=\frac{x}{x-2}$
First we cross-multiply:
$(x+1)(x-2)=x(x-1)$
And distribute:
$x^{2}-x-2=x^{2}-x$
And combine like terms:
$x^{2}-x^{2}-x+x-2=0$
$-2=0$
Since we get a nonsensical equation, there are no solutions.
