How do you solve $abs(4y-15)=13$ ?

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Answer 1 · 2018-06-01T22:21:18

$y=7,1/2$

Equations of the form $|x|=b$ can be rewritten as $x=+-b$ .

The absolute value bars go away, and we'll have two equations:

$4y-15=13$ and $4y-15=-13$

Solving the first one, we get

$4y=28$

$color(blue)(y=7)$

Solving the second, we get

$4y=2$

$color(blue)(y=1/2)$

Our solutions are in blue.

Hope this helps!

How do you solve abs(4y-15)=13abs(4y-15)=13?