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Linear Equations — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSLinear Equations3 Marks
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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