Question

Solve and state any extraneous solutions

Answer 1

$\frac{3x}{x - 1} + 2 = \frac{3}{x - 1}$

$\frac{3x}{x - 1} + \frac{2(x - 1) }{ x - 1} = \frac{3}{x - 1}$

$\frac{3x}{x - 1} + \frac{2x - 2}{ x - 1} = \frac{3}{x - 1}$

$\frac{3x + 2x - 2}{ x - 1} = \frac{3}{x - 1}$

$3x + 2x - 2 = 3$

$5x - 2 = 3$

$5x = 3 + 2$

$5x = 5$

$x = \frac{5}{5}$

$x = 1$