Question
Solve:
$\frac{6\text{y}-5}{2\text{y}}=\frac{7}{9}$
$\frac{6\text{y}-5}{2\text{y}}=\frac{7}{9}$
✓
Answer
$\frac{6\text{y}-5}{2\text{y}}=\frac{7}{9}$
$\Rightarrow9(6\text{y}-5)=7(2\text{y})$ (by cross multiplication)
$\Rightarrow54\text{y} - 45 = 14\text{y}$
$\Rightarrow54\text{y} - 14\text{y} = 45$
$\Rightarrow 40\text{y} = 45$
$\Rightarrow \text{y} = \frac{45}{40}= \frac{9}{8}$
$\therefore\text{y} = \frac{9}{8}$
$\Rightarrow9(6\text{y}-5)=7(2\text{y})$ (by cross multiplication)
$\Rightarrow54\text{y} - 45 = 14\text{y}$
$\Rightarrow54\text{y} - 14\text{y} = 45$
$\Rightarrow 40\text{y} = 45$
$\Rightarrow \text{y} = \frac{45}{40}= \frac{9}{8}$
$\therefore\text{y} = \frac{9}{8}$
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