Find algebraically the coordinates of the points of intersection of the graph with this equation:

$\displaystyle y=3x-1

y=3+3/(x-1)$

this is what i did (but turned out wrong?

$\displaystyle 3x-1=3+3/(x-1)$

multiplied everything by x-1

$\displaystyle (x-1)(3x-1)= 3x-3 +2$

$\displaystyle (X-1)(3X-1)=3x-1$

$\displaystyle x-1=0$

$\displaystyle x=1$

but that doesn't work, and either way the answer is meant to be:

$\displaystyle (2,5) (1/3,0)$

No clue what to do.

Thanks.