If \(\frac{x+7}{3x+16} = \frac{4}{7 }\) then x =A) – 1 B) – 2 C

1.	If \(\frac{x+7}{3x+16} = \frac{4}{7 }\) then x =A) – 1 B) – 2 C) – 3 D) – 4
Answer» Correct option is C) – 3 Correct option is (C) –3 \(\frac{x+7}{3x+16}=\frac{4}{7}\) \(\Rightarrow\) 7(x+7) = 4(3x+16) \(\Rightarrow\) 7x+49 = 12x+64 \(\Rightarrow\) 12x - 7x = 49 - 64 = -15 \(\Rightarrow\) 5x = -15 \(\Rightarrow\) x = \(\frac{-15}5\) = -3.

If \(\frac{x+7}{3x+16} = \frac{4}{7 }\) then x =A) – 1 B) – 2 C) – 3 D) – 4

Answer»

Correct option is C) – 3

Correct option is (C) –3

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

\(\Rightarrow\) 7(x+7) = 4(3x+16)

\(\Rightarrow\) 7x+49 = 12x+64

\(\Rightarrow\) 12x - 7x = 49 - 64 = -15

\(\Rightarrow\) 5x = -15

\(\Rightarrow\) x = \(\frac{-15}5\) = -3.