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Determinati numerele x ,y,z direct proportionale cu 3,4 si 5 ,stiind ca 3z-2x-y=35

Răspuns :

[tex] \frac{x}{3} = \frac{y}{4} = \frac{z}{5} =k[/tex]
⇒x=3k
y=4k
z=5k
3z-2x-y=35
⇒15k-6k-4k=35
5k=35⇒k=7
⇒x=21, y=28, z=35