Question

State true or false:

If $\frac{2}{3x}=\frac{x-1}{2x-1}$, then $x$ is $2or\frac{1}{3}$

• A. True
• B. False

Answer 1

The correct option is A True

$\frac{2}{3x}=\frac{x-1}{2x-1}$
$2(2x-1)=3x(x-1)$
$4x-2=3x^2-3x$
$3x^2-7x+2=0$
$3x^2-6x-x+2=0$
$(3x-1)(x-2)=0$
$x=\frac{1}{3},2$