\(5x=6y\)
\(\Rightarrow\dfrac{x}{6}=\dfrac{y}{5}\)
\(\Rightarrow\dfrac{2x}{12}=\dfrac{3y}{15}\)
Áp dụng tính chất dãy tỉ số bằng nhau , ta có :
\(\dfrac{2x}{12}=\dfrac{3y}{15}=\dfrac{2x+3y}{12+15}=\dfrac{7}{27}\)
\(\Rightarrow\dfrac{2x}{12}=\dfrac{7}{27}\)\(\Rightarrow2x=\dfrac{7.12}{27}=\dfrac{28}{9}\)\(\Rightarrow x=\dfrac{14}{9}\)
\(\dfrac{3y}{15}=\dfrac{7}{27}\Rightarrow3y=\dfrac{7.15}{27}=\dfrac{35}{9}\)\(\Rightarrow y=\dfrac{35}{27}\)
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