Question

Determinări numerele x,y si z invers proporționale cu numerele 5,6 si 15 stiind ca 3x-2y-z=12.

Answer 1

{x,y,z} i.p. {5,6,15}
{x,y,z} d.p. {1/5;1/6;1/15}
X supra 1/5 =y supra 1/6= z supra 1/15=k
X=1/5 K; y= 1/6 K; z=1/15 K
3x1/5xK - 2x1/6xK - 1/15 K=12
3/5 K - 1/3 K - 1/15 K = 12
9/15 K - 5/15 K - 1/15 K = 12
3/15 K =12
K=12x15/3
K=60

X=12
Y=10
Z=4