SOLUTION: What is the solution of |2x-7|+1 = 9 I get -3/2 but my answer key says -1/2 Not sure why and thank you.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What is the solution of |2x-7|+1 = 9 I get -3/2 but my answer key says -1/2 Not sure why and thank you.       Log On


   

Question 1034451: What is the solution of |2x-7|+1 = 9
I get -3/2 but my answer key says -1/2
Not sure why and thank you.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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abs%282x-7%29%2B1=9
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abs%282x-7%29=8
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2x-7=8 OR 2x-7=-8
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2x=15 OR 2x=-1
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x=7.5 OR x=-1%2F2
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CHECK:
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for x=7.5
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abs%282x-7%29%2B1=9
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abs%282%287.5%29-7%29%2B1=9
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abs%2815-7%29%2B1=9
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abs%288%29%2B1=9
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8%2B1=9
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9=9
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ANSWER 1: One solution is x=7.5
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CHECK:
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For x=(-1/2):
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abs%282x-7%29%2B1=9
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abs%282%28-1%2F2%29-7%29%2B1=9
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abs%28%28-1%29-7%29%2B1=9
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abs%28-8%29%2B1=9
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8%2B1=9
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9=9
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Another solution is x=-1/2
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ANSWERS: Solutions are 7.5 and -1/2
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