Question

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

Answer 1

Solve using identity.

Consider the given equation,

$$\begin{gathered} \Rightarrow \frac{x}{3}+1=\frac{7}{15} \\ \Rightarrow \frac{x}{3}=\frac{7}{15}-1 \\ \Rightarrow \frac{x}{3}=\frac{7-15}{15} \\ \Rightarrow \frac{x}{3}=\frac{-8}{15} \\ \Rightarrow x=\frac{-8\times 3}{15} \\ \therefore x=\frac{-24}{15} \end{gathered}$$

Thus, the solution is $x=\frac{-24}{15}$.