Question

Solve the equation. Check your solution.

$\frac{\mathbf{h}}{\mathbf{9}}\mathbf{-}\mathbf{19}\mathbf{=}\mathbf{-}\mathbf{10}$

Short answer

The solution for the equation $\frac{h}{9}-19=-10$ is $h=81$.

Step-by-step solution

.  Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{l}\frac{h}{9}-19=-10\\ \frac{h}{9}=-10+19\\ \frac{h}{9}=9\end{array}$

. Solve for h

Now, multiply both sides of the equation by 9.

$\begin{array}{l}\frac{h}{9}\times 9=9\times 9\\ h=9\times 9\\ h=81\end{array}$

Therefore, the solution of the equation is $h=81$.

$\begin{array}{l}\frac{h}{9}\times 9=9\times 9\\ h=9\times 9\\ h=81\end{array}$

.  Check the solution 

To check the solution, write the original equation and substitute the value ofh.

$\frac{h}{9}-19=-10$

Now, substitute $h=81$and check the result.

$\begin{array}{l}\frac{81}{9}-19=-10\\ 9-19=-10\\ -10=-10\end{array}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct.