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Anna11 [10]
2 years ago
12

What is the solution-2|2.2x-3.3|=-6.6

Mathematics
2 answers:
Alex17521 [72]2 years ago
7 0

Answer:

-2(-3.3 + 2.2x) = 6.6

(-3.3 * -2 + 2.2x * -2) = 6.6

(6.6 + -4.4x) = 6.6



mylen [45]2 years ago
5 0

Solution, solve\:for\:x,\:-2\left|2.2x-3.3\right|=-6.6\quad :\quad x=0\quad \mathrm{or}\quad \:x=3

Steps:

-2\left|2.2x-3.3\right|=-6.6

\mathrm{Divide\:both\:sides\:by\:}-2,\\\frac{-2\left|2.2x-3.3\right|}{-2}=\frac{-6.6}{-2}

\mathrm{Simplify},\\\left|2.2x-3.3\right|=3.3

|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a,\\2.2x-3.3=-3.3\quad \quad \mathrm{or}\quad \:\quad \:2.2x-3.3=3.3

2.2x-3.3=-3.3,\\\mathrm{Add\:}3.3\mathrm{\:to\:both\:sides},\\2.2x-3.3+3.3=-3.3+3.3,\\\mathrm{Refine},\\2.2x=0,\\\mathrm{Multiply\:both\:sides\:by\:}10,\\.2x\cdot \:10=0\cdot \:10,\\\mathrm{Refine},\\22x=0,\\\mathrm{Divide\:both\:sides\:by\:}22,\\\frac{22x}{22}=\frac{0}{22},\\\mathrm{Simplify},\\x=0

2.2x-3.3=3.3,\\\mathrm{Multiply\:both\:sides\:by\:}10,\\2.2x\cdot \:10-3.3\cdot \:10=3.3\cdot \:10,\\\mathrm{Refine},\\22x-33=33,\\\mathrm{Add\:}33\mathrm{\:to\:both\:sides},\\22x-33+33=33+33,\\\mathrm{Simplify},\\22x=66,\\\mathrm{Divide\:both\:sides\:by\:}22,\\\frac{22x}{22}=\frac{66}{22},\\\mathrm{Simplify},\\x=3

\mathrm{Combine\:the\:ranges},\\x=0\quad \mathrm{or}\quad \:x=3

\mathrm{The\:Correct\:Answer\:is\:x=0\quad \mathrm{or}\quad \:x=3}

\mathrm{Hope\:This\:Helps!!!}

\mathrm{-Austint1414}

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