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Which equation has only one unique solution? A. |x − 2| − 7 = 7 B. -4|x| + 1 = -3 C. 9 − |2x − 1| = 9 D. |3 − x| = 3

User Jako
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Answer: C. 9−|2x−1|=9.

Step-by-step explanation: |x−2|−7+7=7+7 x−2+2=14+2 x=16 x−2+2=−14+2 x=-12

−4|x|+1+−1=−3+−1 −4|x|/−4=−4/−4 |x|=1 or |x|=−1

9−|2x−1|+−9=9+−9 −|2x−1|/−1=0/−1 2x−1+1=0+1 2x/2=1/2 x=1/2

|3−x|=3 −(−x+3)=3 x−3+3=3+3 x=6 (−x+3−3)=3−3 -x/-1=0/-1 x=0

Answer choice A is equal to x=16 or x=−12 which is two solutions not one, Answer choice B is equal to |x|=1 or |x|=−1 because of the absolute value of 1, and Answer choice C is equal to x=1/2 which is the only equation with the only one unique solution, also Answer choice D is equal to x=6 or x=0 which is two solutions not one.

User Anptk
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