[tex] \frac{4x-3y}{2x+y}= \frac{4}{7} \\ ----- \\ \frac{x}{y} =? \\ ----- \\ \frac{4x-3y}{2x+y}= \frac{4}{7}\ \textless \ =\ \textgreater \ 7*(4x-3y)=4*(2x+y)= \\= 28x-21y=8x+4y/+21y \\ 28x=8x+25y/-8x \\ 20x=25y/:20 \\ x= \frac{25y}{20}= \frac{5y}{4} \\ \\ \frac{x}{y} = \frac{\frac{5y}{4} }{y} = \frac{5y}{4} * \frac{1}{y} = \frac{5}{4} \\ \\ /robertinni[/tex]
