Răspuns :
[tex]\frac{6a+2b}{5a+3b} =\frac{10}{9}[/tex]
produsul miezilor este egal cu produsul extremilor
9*(6a+2b)=10*(5a+3b)
54a+18b=50a+30b
54a-50a=30b-18b
4a=12b
[tex]\frac{a}{b} = \frac{12}{4} <=> \frac{a}{b} =3[/tex]
(6a+2b)/(5a+3b)=10/9
9(6a+2b)=10(5a+3b)
54a+18b=50a+30b
54a-50a=30b-18b
4a=12b /:4
a=3b
a/b=3