Question

{x,y,z}i.p{2,3,4} x+z+y=10
urgent!!!​

Answer 1

Explicație pas cu pas:

x,y,z i.p. cu 2,3,4; x+z+y=10

$\dfrac{x}{\dfrac{1}{2}} = \dfrac{y}{\dfrac{1}{3}} = \dfrac{z}{\dfrac{1}{4}} = \dfrac{x + y + z}{\dfrac{1}{2} + \dfrac{1}{3} + \dfrac{1}{4}} = \dfrac{10}{\dfrac{6 + 4 + 3}{12}} = \dfrac{10 \cdot 12}{13} = \dfrac{120}{13}$

$\dfrac{x}{\dfrac{1}{2}} = \dfrac{120}{13} \iff x = \dfrac{1}{2} \cdot \dfrac{120}{13} \\ \implies x = \dfrac{60}{13}$

$\dfrac{y}{\dfrac{1}{3}} = \dfrac{120}{13} \iff y = \dfrac{1}{3} \cdot \dfrac{120}{13} \\ \implies y = \dfrac{40}{13}$

$\dfrac{z}{\dfrac{1}{4}} = \dfrac{120}{13} \iff x = \dfrac{1}{4} \cdot \dfrac{120}{13} \\ \implies z = \dfrac{30}{13}$