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2 votes
Which expression is equivalent to 1/2 (10a − 8b) + 3(4a − 2) + 1/3 (9 − 6b)?

A)5a − 5b + 6


B)17a − 6b − 3
C)20a − 8b + 7
D)24a + 6b + 6

2 Answers

4 votes
the answer is b.17a-6b-3
User Rodrigues
by
8.0k points
4 votes

Answer:

Option: B is the correct answer.

B) 17a − 6b − 3

Explanation:

The expression is given as:


(1)/(2)(10a-8b)+3(4a-2)+(1)/(3)(9-6b)

The expression could also be given by:


=(1)/(2)2(5a-4b)+3(4a-2)+(1)/(3)3(3-2b)

which is nothing but:


=5a-4b+3* 4a-3* 2+3-2b\\\\=5a-4b+12a-6+3-2b

On combining the like terms:


=5a+12a-4b-2b-6+3\\\\=17a-6b-3

User Enyra
by
8.5k points
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