Question

7|r+5|-2=12 what is the formula? Solve the equation.

Answer 1

Start with

`7|r+5|-2=12`

Add 2 to both sides:

`7|r+5|=14`

Divide both sides by 7:

`|r+5|=2`

Which is true if

`r+5=\pm 2`

If we choose the positive alternative, we have

`r+5=2 \iff r=3`

Otherwise, we have

`r+5=-2 \iff r=-7`