Question

Gasiti 3 numere x z y direct proportionale cu 2 5 si 3 astfel in cat 4x - y+2z= 783 AJUTATIMA PLIZ

Answer 1

4x-y+2z=783
x,y,z = ?    

(x,y,z) d. p. (2,5,3)                

$\frac{x}{2}= \frac{y}{5}=\frac{z}{3}=k$

$\frac{x}{2}=k, x=2k; \frac{y}{5}=k; y=5k; \frac{z}{3}=k , z=3k$

4x-y+2z=783

[tex] 4\cdot(2k)-5k+2\cdot3k=783 \\ \\ 8k-5k+6k=783 \\ \\ k=783:9 \\ \\ k=87[/tex]

x=2k=2×87=174

y=5k=5×87=435

z=3k=3×87=261