[tex] \frac{4x - 3y}{3x - y } = \frac{1}{5} [/tex]
[tex]5(4x - 3y) = 3x - y[/tex]
[tex]20x - 15y = 3x - y[/tex]
[tex]20x - 3x = - y + 15y[/tex]
[tex]17x = 14y \: | \div y[/tex]
[tex] \frac{17x}{y} = 14[/tex]
[tex]17 \times \frac{x}{y} = 14[/tex]
[tex] \frac{x}{y} = \frac{14}{17} [/tex]