Question

Biết \(\frac{4x}{6y}=\frac{2x+8}{3y+11}\). Vậy\(\frac{x}{y}\) =...

Answer 1

\(\frac{4x}{6y}=\frac{2x+8}{3y+11}\Leftrightarrow4x\left(3y+11\right)=6y\left(2x+8\right)\Leftrightarrow12xy+44x=12xy+48y\)

\(44x=48y\Leftrightarrow\frac{x}{y}=\frac{48}{44}=\frac{12}{11}\)

Answer 2

\(\frac{4x}{6y}=\frac{2x+8}{3y+11}\Leftrightarrow4x\left(3y+11\right)=6y\left(2x+8\right)\Leftrightarrow12xy+44x=12xy+48y\)

\(\Leftrightarrow44x=48y\Leftrightarrow\frac{x}{y}=\frac{48}{44}=\frac{12}{11}\)