\(\frac{2x+3y}{x-y}=\frac{2}{3}\)
\(\Leftrightarrow3.\left(2x+3y\right)=2.\left(x-y\right)\)
\(\Leftrightarrow6x+9y=2x-2y\)
\(\Leftrightarrow6x-2x=-2y-9y\)
\(\Leftrightarrow4x=-11y\)
\(\Leftrightarrow\frac{x}{y}=\frac{-11}{4}\)
\(\frac{2x+3y}{x-y}=\frac{2}{3}\)
\(\rightarrow\left(2x+3y\right)\cdot3=\left(x-y\right)\cdot2\)
\(\rightarrow6x+9y=2x-2y\)
\(\rightarrow6x-2x=-9y-2y\)
\(\rightarrow4x=-11y\)
Suy ngược lại
\(\Rightarrow\frac{4}{-11}=\frac{x}{y}\)
\(\frac{2x+3y}{x-y}=\frac{2}{3}\)
\(\Leftrightarrow3\left(2x+3y\right)=2\left(x-y\right)\)
\(\Leftrightarrow6x+9y=2x-2y\)
\(\Leftrightarrow6x-2x=-2y-9y\)
\(\Leftrightarrow4x=-11y\)
\(\Leftrightarrow\frac{x}{y}=-\frac{11}{4}\)
Chúc bạn học tốt !!!
Bn Ahwi làm sai rồi. Nếu x/y = 11/-4 thì <=> 4y = -11x chứ
