Determinati numerele x,y,z invers proportionale cu numerele 5,6,15 ,stiind ca 3x-2y-z=12

Răspuns :

5x=6y=15z=K
x=K/5
y=K/6
z=K/15
3x-2y-z=12
3K/5-2K/6-K/15=12
18K-10K-2K=30x12
6K=30x12
K=30x12/6
K=30x2
K=60
x=60/5=12
y=60/6=10
z=60/15=4