Question

Fie a\b=2/3 aflati valoarea expresiei a+5b\2a-b

Answer 1

$\frac{a}{b}= \frac{2}{3}=\ \textgreater \ a=2k~si~b=3k. \\ \\ \frac{a+5b}{2a-b}= \frac{2k+15k}{4k-3k}= \frac{17k}{k}=17.$

Answer 2

a/b=2/3
3a=2b
a=2b/3
(a+5b)/(2a-b)=(2b/3+5b)/(2·2b/3-b)=
(2b/3+15b/3)/(4b/3-3b/3)=(17b/3)/(b/3)=17b/b=17