Nancy J.

asked • 01/02/14# -3 |x| + 10 = -20

We need to find two answers to the above question. Can only find one answer which is 10 and cannot figure out what the 2nd answer is.

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## 2 Answers By Expert Tutors

Arthur D. answered • 01/03/14

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Mathematics Tutor With a Master's Degree In Mathematics

-3 absolutevalue(x)+10=-20

-3 absolutevalue(x)+10-10=-20-10

-3 absolutevalue(x)=-30

[-3 absolutevalue(x)]/(-3)=(-30)/(-3)

absolutevalue(x)=10

the absolute value of a number is never negative, only positive or zero

examples:absval(12)=12, absval(-15)=15, absval(0)=0

therefore absval(10)=10 and absval(-10)=10 also

now you know where the second value of -10 comes from

simply speaking, the absolute value of a number is the number of units that number is from the origin without regard to direction

in your example, x is the number that is 10 units from the origin; there are two numbers that are each 10 units from the origin on the number line: 10 and -10(don't forget that these are undirected distances-which direction you move does not matter, in the positive direction or in the negative direction) I hope this helps you understand absolute value.

Nancy M. answered • 01/02/14

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Language and Literature, ESL needs: Here I am!

Both 10 and -10 are correct.

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Nancy J.

01/02/14