x12=y13=z14=x+y−z12+13−14=21712=36x12=y13=z14=x+y−z12+13−14=21712=36
⇒y13=36⇒y=12⇒y13=36⇒y=12
Tham Thảo
https://hoc24.vn/cau-hoi/2x3y4z-va-xy-z21giup-mik-di-mik-dang-can-gap-mai-thi-roi.195645768969
\(2x=3y=4z\Rightarrow\dfrac{x}{\dfrac{1}{2}}=\dfrac{y}{\dfrac{1}{3}}=\dfrac{z}{\dfrac{1}{4}}\)
Áp dụng t/c dtsbn ta có:
\(\dfrac{x}{\dfrac{1}{2}}=\dfrac{y}{\dfrac{1}{3}}=\dfrac{z}{\dfrac{1}{4}}=\dfrac{x-y+z}{\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{4}}=\dfrac{21}{\dfrac{7}{12}}=36\)
\(\dfrac{x}{\dfrac{1}{2}}=36\Rightarrow x=18\\ \dfrac{y}{\dfrac{1}{3}}=36\Rightarrow y=12\\ \dfrac{z}{\dfrac{1}{4}}=36\Rightarrow z=9\)
