Question

The solution of the equation $\frac{2x+4}{3x-1}=\frac{4}{3}$ is

• A. 6
• B. 4
• C. $\frac{8}{3}$
• D. $\frac{3}{4}$

Answer 1

The correct option is C $\frac{8}{3}$

Given equation is $\frac{2x+4}{3x-1}=\frac{4}{3}$
Cross multiplying, we get
$3(2x+4)=4(3x-1)$
$\Rightarrow 6x+12=12x-4\Rightarrow 6x=16$
$\Rightarrow x=\frac{16}{6}=\frac{8}{3}$.
Hence, the solution is $x=\frac{8}{3}$.