Question

The sum of two rational numbers is −2. If one of the numbers is $\frac{-14}{5}$, find the other.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{other}\mathrm{number}\mathrm{be}x. \\ \mathrm{Now}, \\ \Rightarrow x+\frac{-14}{5}=-2 \\ \Rightarrow x-\frac{14}{5}=-2 \\ \Rightarrow x=-2+\frac{14}{5} \\ \Rightarrow x=\frac{(-2)\times 5+14}{5} \\ \Rightarrow x=\frac{-10+14}{5} \\ \Rightarrow x=\frac{4}{5} \end{gathered}$$