How do you solve $abs(5-4w )= 3w$ and find any extraneous solutions?

Question

1430 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-22T12:25:37

$w = 5/7$ and $w = 5$

The equation $abs(5-4w )= 3w$ is equivalent to the couple of independent equations

${ (5-4w= 3w), (5-4w= -3w) :}$

Solving we have $w = 5/7$ and $w = 5$

How do you solve abs(5-4w )= 3wabs(5-4w )= 3w and find any extraneous solutions?