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!