Solve the following equations and verify your answer :

$\frac{2 y + 5}{y + 4} = 1$

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Solution

$\frac{2 y + 5}{y + 4} = 1$

By cross multiplication:

$2 y + 5 = y + 4$

$\Rightarrow 2 y - y = 4 - 5$ (By transposition)

$\Rightarrow y = - 1$

$∴ y = - 1$

Verification :

$L . H . S . = \frac{2 y + 5}{y + 4} = \frac{2 (- 1) + 5}{- 1 + 4} = \frac{- 2 + 5}{- 1 + 4}$

$= \frac{3}{3} = 1 = R . H . S .$

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