Question
Solve the following equation and verify your answer:
$\frac{2\text{y}+5}{\text{y}+4}=1$
$\frac{2\text{y}+5}{\text{y}+4}=1$
✓
Answer
$\frac{2\text{y}+5}{\text{y}+4}=1$By cross multiplication:
$2\text{y}+5=\text{y}+4$ $\Rightarrow2\text{y}-\text{y}=4-5$ (By transposition) $\Rightarrow\text{y}=-1$ $\therefore\text{y}=-1$Verification:
$\text{L.H.S.}=\frac{2\text{y}+5}{\text{y}+4}=\frac{2(-1)+5}{-1+4}=\frac{-2+5}{-1+4}$ $=\frac{3}{3}=1=\text{R.H.S.}$
$2\text{y}+5=\text{y}+4$ $\Rightarrow2\text{y}-\text{y}=4-5$ (By transposition) $\Rightarrow\text{y}=-1$ $\therefore\text{y}=-1$Verification:
$\text{L.H.S.}=\frac{2\text{y}+5}{\text{y}+4}=\frac{2(-1)+5}{-1+4}=\frac{-2+5}{-1+4}$ $=\frac{3}{3}=1=\text{R.H.S.}$
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