How do you solve #abs(2/3x-9)=18#?

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Answer 1 · 2017-05-19T09:14:11

#x=-27/2#
#x=+81/2#

For this to work we have to end up with #|+-18|=+18#

This means that #" "2/3x-9=+-18#

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Case 1: #" "2/3x-9=+18#

Add 9 to both sides

#2/3x=27#

Multiply both sides by #3/2#

#x=3/2xx27 = 40 1/2 ->81/2#
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Case 2: #" "2/3x-9=-18#

#2/3x=-9#

#x=3/2xx(-9)=-27/2#