Question

Stiind ca 4y+3x pe y+3x= 5 pe 2 , aflati valoarea raportului 2x+y pe y-x

Plz

Answer 1

$\frac{4y+3x}{y+3x}=\frac{5}{2} \\ \\ \frac{2x+y}{y-x}-? \\ 2(4y+3x)=5(y+3x) \\ 8y+6x=5y+15x \\ 15x=6y+6x-5y=y+6x \\ y=15x-6x=9x \\ \frac{2x+9x}{9x-x}=\frac{11\not{x}}{8\not{x}}=\boxed{\bold{\frac{11}{8} }}$