Question

$\frac{5}{8}b+\frac{1}{2}=-\frac{3}{4}$

Short answer

The value of b is -2.

Step-by-step solution

- The given information.

$\frac{5}{8}b+\frac{1}{2}=-\frac{3}{4}$

Step 2

$$\begin{gathered} \frac{5}{8}b+\frac{1}{2}=-\frac{3}{4} \\ \Rightarrow \frac{5}{8}b=-\frac{1}{2}-\frac{3}{4} \\ \Rightarrow \frac{5}{8}b=\frac{-1\times 2-3}{4} \\ \Rightarrow \frac{5}{8}b=-\frac{5}{4} \\ \Rightarrow b=-\frac{5}{4}\times \frac{8}{5} \\ \Rightarrow b=-2 \end{gathered}$$