Question

How do you solve `|8x - 11| = x + 5`?

Answer 1

The solutions are `S={2/3, 16/7}`

Explanation:

Solve this equation with absolute values as follows :

`{(8x-11=x+5),(-8x+11=x+5):}`

`=>`, `{(7x=16),(9x=6):}`

`=>`, `{(x=16/7),(x=6/9=2/3):}`

graph{|8x-11|-x-5 [-7.38, 10.4, -2.316, 6.574]}