Question

Afla valoarea raportului dintre a si b daca 6a+2b/5a+3b=10/9. VA ROOG AJUTATI-MA

Answer 1

$\frac{6a+2b}{5a+3b} =\frac{10}{9}$

produsul miezilor este egal cu produsul extremilor

9*(6a+2b)=10*(5a+3b)

54a+18b=50a+30b

54a-50a=30b-18b

4a=12b

$\frac{a}{b} = \frac{12}{4} <=> \frac{a}{b} =3$

Answer 2

(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