Question

What is the solution of the equation $\frac{2-9z}{17-4z}=\frac{4}{5}?$

Answer 1

Given, $\frac{2-9z}{17-4z}=\frac{4}{5}$

$\Rightarrow$ $5(2-9z)=4(17-4z)$ …[Cross-multiplying the denominators]

$\Rightarrow$ $10-45z=68-16z$ ...[By Distribution Law]

$\Rightarrow$ $10-68=45z-16z$ ...[Transposing $x$ terms to one side]

$\Rightarrow$ $-58=29z$

$\Rightarrow$ $z=\frac{-58}{29}$

$\Rightarrow$ $z=-2$.