Question

Cho tỉ lệ thức 3x+5y/x-2y=1/4.Tính tỉ số x/y

Answer 1

\(\Rightarrow4\left(3x+5y\right)=x-2y\Rightarrow12x+20y=x-2y\Rightarrow11x=-22y\Rightarrow\frac{x}{y}=\frac{-22}{11}=-2\)

Answer 2

\(\frac{3x+5y}{x-2y}=\frac{1}{4}\)

\(\Rightarrow x-2y=4\left(3x+5y\right)\)

\(\Rightarrow x-2y=12x+20y\)

\(\Rightarrow12x-x=20y+2y\)

\(\Rightarrow11x=22y\)

\(\Rightarrow x=2y\Leftrightarrow\frac{x}{y}=2\)