\(\left\{{}\begin{matrix}4x=3y\\4x+4y=4\cdot14=56\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}4x=3y\\3y+4y=56\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}4x=3y\\y=8\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=6\\y=8\end{matrix}\right.\)
\(4x=3y=>y=\dfrac{4x}{3}\) thế y vào x+y=14
\(=>x+\dfrac{4x}{3}=14< =>\dfrac{7x}{3}=14=>7x=42< =>x=6\)
\(=>y=\dfrac{4.6}{3}=8\)
4x=3y tương đương x/3=y/4
Áp dụng.............
x/3=y/4=x+y/3+4=14/7=2
Ta có: \(\left\{{}\begin{matrix}4x-3y=0\\x+y=14\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}4x-3y=0\\4x+4y=56\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}-7y=-56\\x+y=14\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}y=8\\x=6\end{matrix}\right.\)
4x=3y=>x/3=y/4
Tính chất của dãy tỉ số bằng nhau : x/3 + y/4 = (x+y)/(3+4)=14/7=2
=>x=6 : y=8