Question

Stiind ca 2x + y supra 3x +4y =1supra 2 , valoarea raportului x supra y este

Answer 1

[tex]\it \dfrac{2x+y}{3x+4y}=\dfrac{1}{2}\Leftrightarrow \dfrac{2x+y}{3x+4y-2x-y}=\dfrac{1}{2-1}\Leftrightarrow \dfrac{2x+y}{x+3y}=1\Leftrightarrow \\\;\\ \\\;\\ 2x+y=x+3y \Leftrightarrow 2x-x=3y-y \Leftrightarrow x = 2y|_{:y}\Leftrightarrow \dfrac{x}{y}=2[/tex]

Answer 2

2x + y / 3x +4y = 1 / 2
2(2x + y)=3x+4y
4x+2y=3x+4y
4x-3x=4y-2y
x=2y
x/y =2