Question

Olve the equation. If there is more than one solution, separate them with a comma.| 7x+2|=37

Answer 1

Given:

`|7x+2\left|=37\right?`

To find: The solutions

Step-by-step explanation:

Since it is an absolute equation.

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

For the Positive case,

`\begin{gathered} 7x+2=37 \\ 7x=35 \\ x=5 \end{gathered}`

For the negative case,

`\begin{gathered} -(7x+2)=37 \\ 7x+2=-37 \\ 7x=-39 \\ x=-(39)/(7) \end{gathered}`

Final answers: The solutions are,

`x=-(39)/(7),5`