Question

Solve the following equation:

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

Answer 1

Solution one variable linear equation:

The equation is:

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

On rearranging the like terms, we get

$\frac{x}{3}=\frac{7}{15}–1$

Making common denominator on R.H.S. and on solving,

$$\begin{gathered} \frac{x}{3}=\frac{(7–15)}{15} \\ \Rightarrow \frac{x}{3}=\frac{-8}{15} \\ \Rightarrow x=\frac{-8}{15}\times 3 \\ \Rightarrow x=\frac{-8}{5} \end{gathered}$$

Hence, $\mathit{x}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{-}\mathbf{8}}{\mathbf{5}}$ is the solution of given equation.