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3=−2|14s−5|+3 what is s

1 Answer

4 votes

Answer:

s = 5/14

Explanation:

3 = -2|14s -5| +3

0 = -2|14s -5| . . . . . . subtract 3 from both sides

0 = 14s -5 . . . . . . . . . divide by -2

5 = 14s . . . . . . . . . . . add 5

5/14 = s . . . . . . . . . . . divide by the coefficient of s

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The only way a non-zero multiple of an absolute value will be zero is if the value within the absolute value symbol is zero. (Zero product rule.)

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