Question

Solve each equation. Check your solution.

$-\frac{1}{2}+a=\frac{5}{8}$

Short answer

The required solution is$a=\frac{9}{8}$.

Step-by-step solution

Step 1. Write the given information. 

The given equation is:$-\frac{1}{2}+a=\frac{5}{8}$

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} -\frac{1}{2}+a=\frac{5}{8} \\ a=\frac{5}{8}+\frac{1}{2} \\ a=\frac{5+4}{8} \\ a=\frac{9}{8} \end{gathered}$$

Step 3. Checking solution.

Substitute $a=\frac{9}{8}$in the given equation, we get

$$\begin{gathered} -\frac{1}{2}+a=\frac{5}{8} \\ -\frac{1}{2}+\frac{9}{8}=\frac{5}{8} \\ \frac{-4+9}{8}=\frac{5}{8} \\ \frac{5}{8}=\frac{5}{8} \end{gathered}$$

Hence, proved.