Gloria says the two expressions 1/4 (12x + 24) - 9x and - 6 (x + 1) are equivalent. Is she correct? Explain why or why not.

Question

Mathematics

Cheyenne

4 March, 10:50

Gloria says the two expressions 1/4 (12x + 24) - 9x and - 6 (x + 1) are equivalent. Is she correct? Explain why or why not.

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Answers (2)

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Francisco Hughes · Answer 1

So first distribute

1/4 (12x+24) = 3x+8

so 3x+8-9x=8-6x

-6 (x+1) = - 6x-6

8-6x is not equal to - 6-6x

so she is NOT correct, they are not equivilent

Aurora Burch · Answer 2

The first expression is equal to 3x + 24 - 9x, or 24 - 6x, and the second equation equals 6-6x. If you set them equal to eachother, you get 24 - 6x = 6 - 6x. The 6x's cancel out, so you're left with 24 = 6, which is not true. The expressions are not equivalent.