Question

Aflati x, y, z cunoscand ca { x, y, z} i.p. { 2, 3, 6} si x-y+z=15

Answer 1

x·2=y·3=z·6=k;
⇒x=k/2;
⇒y=k/3;
⇒z=k/6;
⇒k/2-k/3+k/6=15
⇒3k/6-2k/6+k/6=15
⇒k/6+k/6=15
⇒2k/6=15⇒k=6·15/2⇒k=3·15⇒k=45;
⇒x=22,5;
⇒y=15;
⇒z=7,5;