Răspuns :
{x,y}dp(2,9}
x/2=y/9=k
x/2=k⇒x=2k
y/9=k⇒y=9k
inlocuim in relatia (2x+6y)/(25x-y)=58/41
(2·2k+6·9k)/(25·2k-9k)=58/41
(4k+54k)/(50k-9k)=58/41
58k/41k=58/41 :58/41
k=1
x=2k=2
y=9
x/2=y/9=k
x/2=k⇒x=2k
y/9=k⇒y=9k
inlocuim in relatia (2x+6y)/(25x-y)=58/41
(2·2k+6·9k)/(25·2k-9k)=58/41
(4k+54k)/(50k-9k)=58/41
58k/41k=58/41 :58/41
k=1
x=2k=2
y=9