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Which expression is equivalent to 2 3 (3x + 9y) + 1 2 (4x - 2y)? A) x + 4y B) 8x - y C) 4x + 5y D) 2x + 5y

Which expression is equivalent to 2 3 (3x + 9y) + 1 2 (4x - 2y)? A) x + 4y B) 8x - y C) 4x + 5y D) 2x + 5y
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Which expression is equivalent to 2 3 (3x + 9y) + 1 2 (4x - 2y)? A) x + 4y B) 8x - y C) 4x + 5y D) 2x + 5y

User Psparrow
by
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2 Answers

6 votes
the correct answer is c


User Gabriel Lupu
by
8.1k points
3 votes
The correct answer is C) 4x + 5y.

We use the Distributive Property on both parts of this:

2/3(3x + 9y) + 1/2(4x - 2y)
= 2/3(3x) + 2/3(9y) + 1/2(4x) - 1/2(2y)
= 6/3x + 18/3y + 4/2x - 2/2y
= 2x + 6y + 2x - 1y

Combine like terms and we have:
4x + 5y
User Jack Kelly
by
7.9k points
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