Question

Solve the equation. Check your solution.

$\mathbf{9}\mathbf{=}\frac{\mathbf{c}}{\mathbf{-}\mathbf{9}}$

Short answer

The solution for the equation $9=\frac{c}{-9}$islocalid="1649206991097" $c=-81$.

Step-by-step solution

– Solve the equation

Write the original equation and separate the variables.

$\begin{array}{c}9=\frac{c}{-9}\text{(Writeoriginalequation)}\\ -9\left(9\right)=-9\left(\frac{c}{-9}\right)\text{(Multiplyeachsideby}-9\text{)}\\ -81=c\text{(Simplify)}\\ c=-81\end{array}$

– Check the solution 

To check the solution, substitute the value in the original equation and observe the result.

$\begin{array}{l}\frac{c}{-9}\text{(WriteRight-handsideoftheequation)}\\ \frac{-81}{-9}\text{(Substitute}c=-81\text{)}\\ 9\text{(Simplify)}\end{array}$

This signifies that the solution is correct.