Question

determinati numerele rationale pozitive x,y,z stiind ca sunt direct proportionale cu 2,3,5 si x + 3y + 2z = 4
REPEDE VA ROG MULT

Answer 1

Explicație pas cu pas:

x/2=y/3=z/5=k

x=2*k y=3*k z=5*k

x+3y+2z=2k+3*3k+2*5k=4

2k+9k+10k=4

21k=4

k=4/21

x=2*4/21=6/21

y=3*4/21=12/21

z=5*4/21=20/21