Question

Solve the following equation and verify your answer:

\[\frac{2y + 5}{y + 4} = 1\]

Answer 1

\[\frac{2y + 5}{y + 4} = 1\]

\[\text{ or }2y + 5 = y + 4\]

\[\text{ or }2y - y = 4 - 5\]

\[\text{ or }y = - 1\]

\[\text{ Thus, } y = - 1\text{ is the solution of the given equation . }\]

\[\text{ Check: }\]

\[\text{ Substituting }y = - 1 \text{ in the given equation, we get: }\]

\[\text{ L . H . S . }= \frac{2( - 1) + 5}{- 1 + 4} = \frac{- 2 + 5}{3} = \frac{3}{3} = 1\]

\[\text{ R . H . S . }= 1\]

\[ \therefore\text{ L . H . S . = R . H . S . for }y = - 1 .\]