\(\dfrac{x}{4}=\dfrac{y}{3}\) áp dụng...ta đc:
\(\dfrac{x}{4}=\dfrac{y}{3}=\dfrac{x+y}{4+3}=\dfrac{21}{7}=3\)
x:4=3
x=12
y:3=3
y=9
\(\left\{{}\begin{matrix}3x=4y\\x+y=21\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}3\left(21-y\right)=4y\\x=21-y\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}7y=63\\x=21-y\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=9\\x=12\end{matrix}\right.\)
z nào?
nếu chỉ có x và y:
3x = 4y → \(\dfrac{x}{4}=\dfrac{y}{3}\)
=> Dùng tỉ lệ thức bằng nhau: \(\dfrac{x}{4}=\dfrac{y}{3}=\dfrac{x+y}{4+3}=\dfrac{x+y}{7}=\dfrac{21}{7}=3\)
\(\dfrac{x}{4}=3\rightarrow x=12\)
\(\dfrac{y}{3}=3\rightarrow y=9\)
Vậy x=12, y = 9