Question

Solve the linear equation:

$\frac{x}{3}+1=\frac{7}{15}$

• A. $x=\frac{-7}{3}$
• B. $x=\frac{-8}{5}$
• C. $x=\frac{9}{5}$
• D. $x=\frac{12}{5}$

Answer 1

The correct option is B $x=\frac{-8}{5}$

Given : $\frac{x}{3}+1=\frac{7}{15}$

$\Rightarrow \frac{x}{3}=\frac{7}{15}-1$ ...... [By transposing 1]

$\Rightarrow \frac{x}{3}=\frac{7-15}{15}$ ...... [By taking LCM on RHS]

$\Rightarrow \frac{x}{3}=\frac{-8}{15}$

$\Rightarrow x=\frac{-8\times 3}{15}=\frac{-8}{5}$