375,244 views
35 votes
35 votes
1/4(12x – 16) = 4 is equivalent to 3x – 16 = 4.
O False
O True

User Gelliant
by
2.6k points

1 Answer

15 votes
15 votes

Hi there!

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I believe your answer is:

O False

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Here’s why:

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\boxed{\text{Simplifying the Equation Given...}}\\\\(1)/(4)(12x-16)=4 \\---------------\\\\\rightarrow \left \{ {{(1)/(4) * 12 = 3} \atop {(1)/(4)*-16 = -4}} \right.\\\\\rightarrow \boxed{3x - 4 = 4}\\\\\\\rightarrow\boxed{3x - 4 = 4\\eq 3x - 16 = 4} \leftarrow\\\\\text{The 'simplified' equation is not distributed correctly.}

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Hope this helps you. I apologize if it’s incorrect.

User Astqx
by
2.8k points
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