Question

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

Answer 1

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

\(\Leftrightarrow\left(2x-y\right).2=\left(x+y\right).3\)

\(\Leftrightarrow2x+2y=6x-3y\)

\(\Leftrightarrow2x-6x=-3y-2y\)

\(\Leftrightarrow-4x=-5y\)

\(\Leftrightarrow\frac{x}{y}=\frac{5}{4}\)

Answer 2

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

\(\Leftrightarrow3\left(2x-y\right)=2\left(x+y\right)\)

\(\Leftrightarrow6x-3y=2x+2y\)

\(\Leftrightarrow6x-2x=2y+3y\)

\(\Leftrightarrow4x=5y\)

\(\Leftrightarrow\frac{x}{y}=\frac{5}{4}\)