Question

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

Answer 1

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=12·30
6k=12·30
k=12·30/6=60
x=60/5=12
y=60/6=10
z=60/15=4