[tex]\frac{a}{10} =\frac{b}{11} =k[/tex] (relatia de proportionalitate)
[tex]=> a=10 k\\=> b= 11k[/tex]
[tex]2-a+3b=139/-2\\3b-a=137\\[/tex]inlocuim pe a si b
[tex]3*11k-10k=137\\33k-10k=137\\23k=137\\k=\frac{137}{23}[/tex]
[tex]=> \frac{a}{10} =\frac{b}{11} =\frac{137}{23} \\=> a=\frac{137*10}{23} =\frac{1370}{23} \\=> b=\frac{137*11}{23} =\frac{1507}{23}[/tex]
Produsul: [tex]\frac{1370}{23} *\frac{1507}{23} =\frac{2064590}{529}[/tex]
