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0 votes
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in Linear Equations by (38.9k points)

\(\frac{3x+16}{x+7} = \frac{7}{4}\) , x = 

3x+16/x+7 = 7/4 , x = 

A) 4

B) 3 

C) 8 

D) –3

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2 Answers

+1 vote
by (36.7k points)

Correct option is  D) – 3

0 votes
by (57.0k points)

Correct option is (D) –3

\(\frac{3x+16}{x+7}=\frac{7}{4}\)

\(\Rightarrow\) 4(3x+16) = 7(x+7)

\(\Rightarrow\) 12x + 64 = 7x + 49

\(\Rightarrow\) 12x - 7x = 49 - 64

\(\Rightarrow\) 5x = -15

\(\Rightarrow\) \(x=\frac{-15}5=-3.\)

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