Question

Solve the following equation and verify your answer:

\[\frac{2 - y}{y + 7} = \frac{3}{5}\]

Answer 1

\[\frac{2 - y}{y + 7} = \frac{3}{5}\]

\[\text{ or }10 - 5y = 3y + 21 (\text{ After cross multiplication })\]

\[\text{ or }3y + 5y = 10 - 21\]

\[\text{ or }8y = - 11\]

\[\text{ or }y = \frac{- 11}{8}\]

\[ \therefore y = \frac{- 11}{8}\text{ is the solution of the given equation . }\]

\[\text{ Check: }\]

\[\text{ Substituting }y = \frac{- 11}{8}\text{ in the given equation, we get: }\]

\[\text{ L . H . S . }= \frac{2 - \frac{- 11}{8}}{\frac{- 11}{8} + 7} = \frac{16 + 11}{- 11 + 56} = \frac{27}{45} = \frac{3}{5}\]

\[\text{ R . H . S . }= \frac{3}{5}\]

\[ \therefore\text{ L . H . S . = R . H . S . for }y = \frac{- 11}{8}\]