Solve: 2-9z 17-4z =4 9 - Vidyadip

Question

Solve:
$\frac{2-9\text{z}}{17-4\text{z}}=\frac{4}{9}$

✓

Answer

$\frac{2-9\text{z}}{17-4\text{z}}=\frac{4}{9}$
$\Rightarrow 5 ( 2-9\text{z}) = 4 ( 17-4\text{z})$
$\Rightarrow10 - 45\text{z} = 68 - 16\text{z}$
$\Rightarrow10 - 68 = 45\text{z} - 16\text{z}$
$\Rightarrow-58 = 29\text{z}$
$\Rightarrow29\text{z} = -58$ (by transposition)
$\Rightarrow\text{z}=\frac{-58}{29}=-2$
$\therefore\text{z}=-2$

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