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Example= |-3|+ 5x= 18
3+ 5x=18 replace the absolute value of a negative with a positive
crossout- -3 -3
subtract 3 on both sides because the 3 is positive
5x=15 but take out the 3 on the left and carry out the subtraction
/5 /5 on the right
x=3 Because you are multiplying x by five, divide on both sides
and 15/5=3 so x=3
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How do you solve absolute-value equations and inequalites?
Absolute Value means the distance from 0, and so you should solve the equation with the number inside the Absolute Value lines as a positive and then solve again as a negative.
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Fractions make no difference to absolute values.
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