Solve the following equations and verify your answer: (3x + 5)/(2x + 7) = 4

Question

Solve the following equations and verify your answer:

\(\frac{3x + 5}{2x + 7}\) = 4

Answer 1

\(\frac{3x + 5}{2x + 7}\) = 4

On cross multiplication, we get

3x + 5 = 8x + 28

On transposing 8x to LHS and 5 to RHS

3x - 8x = 28 - 5

-5x = 23

x = -\(\frac{23}5\)

Check:

Taking LHS

\(\frac{3x + 5}{2x + 7}\)

We got LHS=RHS