Question

Solve : $\frac{2}{3}(y-5)-\frac{1}{4}(y-2)=\frac{9}{2}$

Answer 1

$\frac{2}{3}(y-5)-\frac{1}{4}(y-2)=\frac{9}{2}$

$\frac{2}{3}y-\frac{10}{3}-\frac{y}{4}+\frac{1}{2}=\frac{9}{2}$

$\Rightarrow \frac{8y-3y}{12}-\frac{20-3}{6}=\frac{9}{2}$

$\Rightarrow \frac{5y}{12}=\frac{9}{2}+\frac{17}{6}$

$\Rightarrow y=\frac{44}{6}\times \frac{12}{5}=\frac{88}{5}$