Question

Solve the equation. Check your solution.

$4x+1=5$

Short answer

The solution for the equation $4\mathrm{x}+1=5$ is $\mathrm{x}=1$.

Step-by-step solution

– Separate the variables and constants

Write the original equation and separate the variables.

$\begin{array}{l}\text{4x+1=5}\\ \text{4x=5-1}\\ \text{4x=4}\end{array}$

– Solve for x

Divide both sides of the equation $4\mathrm{x}=4$by $4$.

$\begin{array}{l}\frac{\text{4x}}{4}\text{=}\frac{\text{4}}{4}\\ \text{x=1}\end{array}$

Therefore, the solution of the equation is$\mathrm{x}=1$.

– Check the solution 

To check the solution, write the original equation and substitute the value of x.$4\mathrm{x}+1=5$

Now, substitute $\mathrm{x}=1$and check the result.

$\begin{array}{l}\text{4}\left(\text{1}\right)\text{+1=5}\\ \text{4}\left(\text{1}\right)\text{=5-1}\\ \text{4}\left(\text{1}\right)\text{=4}\\ \text{4=4}\end{array}$

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