Solve: 9x 7-6x =15 - Vidyadip

Question

Solve:
$\frac{9\text{x}}{7-6\text{x}}=15$

✓

Answer

$\frac{9\text{x}}{7-6\text{x}}=15$$\Rightarrow\frac{9\text{x}}{7-6\text{x}}=\frac{15}{1}$
$\Rightarrow 1 ( 9\text{x}) = 15 ( 7-6\text{x})$ (by cross multiplication)
$\Rightarrow 9\text{x} = 105 - 90\text{x}$
$\Rightarrow99\text{x}=105$
$\Rightarrow\text{x}=\frac{105}{99}=\frac{35}{33}$
$\therefore\text{x}=\frac{35}{33}$

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