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

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Answer 1 · 2018-06-29T07:30:15

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

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]}

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