Question

Solve the equation. Check your solution.

$\mathbf{56}\mathbf{=}\mathbf{17}\mathbf{p}\mathbf{-}\mathbf{29}$

Short answer

The solution for the equation$56=17p-29$is$p=5$.

Step-by-step solution

– Separate the variable and constants

Write the original equation and separate the variables.

$\begin{array}{c}56=17p-29\\ 56+29=17p\\ 85=17p\end{array}$

– Solve for p

Now, divide both sides of the equation by 17.

$\begin{array}{c}\frac{85}{17}=p\\ 5=p\\ p=5\end{array}$

Therefore, the solution of the equation is$p=5$.

– Check the solution 

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

$56=17p-29$

Now, substitute$p=5$and check the result.

$\begin{array}{c}56=17\left(5\right)-29\\ 56=85-29\\ 56=56\end{array}$

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