# How do you solve rational equations 5/(3x-4)=3/(x-3)?

Feb 15, 2016

$x = - \frac{3}{4}$
just simply cross multiply the equation $5 \left(x - 3\right)$
$3 \left(3 x - 4\right)$ after solving this $5 x - 15 = 9 x - 12$
$5 x - 9 x = - 12 + 15$
$- 4 x = 3$
$x = - \frac{3}{4}$