Question

Solve each equation. Check your solution.

$\frac{c}{4}=-\frac{9}{8}$

Short answer

The required solution is $c=-\frac{9}{2}$.

Step-by-step solution

Step 1. Write the given information. 

The given equation is:$\frac{c}{4}=-\frac{9}{8}$

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} \frac{c}{4}=-\frac{9}{8} \\ c=-\frac{9}{8}\times 4 \\ c=-\frac{9}{2} \end{gathered}$$

Step 3. Checking solution.

Substitute $c=-\frac{9}{2}$in the given equation, we get

$$\begin{gathered} \frac{c}{4}=-\frac{9}{8} \\ \frac{\left(-\frac{9}{2}\right)}{4}=-\frac{9}{8} \\ -\frac{9}{2}\times \frac{1}{4}=-\frac{9}{8} \\ -\frac{9}{8}=-\frac{9}{8} \end{gathered}$$

Hence, proved.