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

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Answer 1 · 2016-06-22T12:25:37

$w = \frac{5}{7}$ $w = 5/7$ and $w = 5$ $w = 5$

The equation $| 5 - 4 w | = 3 w$ $abs(5-4w )= 3w$ 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 )= 3w|5−4w|=3wabs(5-4w )= 3w and find any extraneous solutions?