Question

Solve the equation. Check your solution.

$\mathbf{13}\mathbf{n}\mathbf{+}\mathbf{42}\mathbf{=}\mathbf{81}$

Short answer

The solution for the equation $13n+42=81$is$n=3$ .

Step-by-step solution

– Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{c}13n+42=81\\ 13n=81-42\\ 13n=39\end{array}$

– Solve for n

Now, divide both sides of the equation by 13.

$\begin{array}{c}n=\frac{39}{13}\\ n=3\end{array}$

Therefore, the solution of the equation is$n=3$ .

– Check the solution 

To check the solution, write the original equation and substitute the value of n $13n+42=81$.

Now, substitute $n=3$and check the result.

$\begin{array}{c}13\left(3\right)+42=81\\ 39+42=81\\ 81=81\end{array}$

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