Question

Daca y/x+y=3/4 atunci raportul 2x+3y/x+y este egal cu​

Answer 1

$\dfrac{y}{x+y}=\dfrac{3}{4} \\ \\ \\ \dfrac{2x+3y}{x+y} = \dfrac{2x+2y+y}{x+y} = \dfrac{2(x+y)+y}{x+y} = \dfrac{2(x+y)}{x+y}+\dfrac{y}{x+y} = \\ \\ = 2+\dfrac{y}{x+y} = 2+\dfrac{3}{4} = \dfrac{8+3}{4} = \boxed{\dfrac{11}{4}}$