Fie P(a,b);
a=1/14 k
b=1/8 k
f(a)=b⇔a+1=b⇔
[tex] \frac{1}{14}*k+1= \frac{1}{8}*k [/tex]
⇔ [tex] \frac{k}{14}+1= \frac{k}{8} [/tex]
⇔1=[tex] \frac{k}{8}- \frac{k}{14} [/tex]
Numitorul comun e 14*8=112
⇔[tex] \frac{112}{112}= \frac{14k-8k}{112} [/tex]
⇔112=14k-8k⇔112=6k⇔k=112/6=56/3
a=1/14*56/3=56/42=28/21=4/3
b=1/8*56/3=56/24=7/3
P(4/3,7/3)
