Explicație pas cu pas:
[tex]\frac{x}{4} = \frac{y}{3} = \frac{2z}{5} = k \\ x = 4k \\ y = 3k \\ z = \frac{5k}{2} [/tex]
[tex]x - y = 3,1(6) = \frac{316 - 31}{90} = \frac{285}{90} = \frac{19}{6} \\ [/tex]
[tex]4k - 3k = \frac{19}{6} \\ k = \frac{19}{6} [/tex]
[tex]x = \frac{4 \cdot 19}{6} = \frac{38}{3} = \bf 12,(6) \\ [/tex]
[tex]y = \frac{3 \cdot 19}{6} = \frac{19}{2} = \bf 9,5 \\ [/tex]
[tex]z = \frac{5 \cdot 19}{2 \cdot 6} = \frac{95}{12} = \bf 7,91(6) \\ [/tex]
