Question

Solve the equation. Check your solution.

$\frac{w}{6}+\frac{5}{8}=-1\frac{3}{8}$

Answer 1

Step 1 : Solve the inequality

We have,

$\Rightarrow \frac{w}{6}+\frac{5}{8}=-1\frac{3}{8}$

$\Rightarrow \frac{w}{6}+\frac{5}{8}-\frac{5}{8}=-\frac{11}{8}-\frac{5}{8}$ [ Subtract $\frac{5}{8}$ from both sides, $-1\frac{3}{8}=-\frac{11}{8}$]

$\Rightarrow \frac{w}{6}=\frac{-11-5}{8}$

$$\begin{gathered} \Rightarrow \frac{w}{6}=\frac{-16}{8} \\ \Rightarrow \frac{w}{6}=-2 \end{gathered}$$

$\Rightarrow \frac{w}{6}\times 6=-2\times 6$ [ Multiply both sides by $6$ ]

$\therefore w=-12$

Step 2 : Checking the solution

Check the solution by putting $w=-12$ in the given inequality

We have,

$\Rightarrow \frac{w}{6}+\frac{5}{8}=-1\frac{3}{8}$

$$\begin{gathered} \Rightarrow \frac{-12}{6}+\frac{5}{8}=-1\frac{3}{8} \\ \Rightarrow -2+\frac{5}{8}=-\frac{11}{8} \\ \Rightarrow \frac{(-2\times 8)+5}{8}=-\frac{11}{8} \\ \Rightarrow \frac{-16+5}{8}=-\frac{11}{8} \\ \Rightarrow \frac{-11}{8}=\frac{-11}{8} \\ \therefore \mathrm{LHS}=\mathrm{RHS} \end{gathered}$$

Hence, the required solution is $w=-12$