Question

Stiind ca 5a-2b supra 2a+b =1 supra 4. Calculati a supra b.

Answer 1

5a-2b / 2a+b = 1 / 4
4* (5a-2b) = 2a+b
20a -8b = 2a+b
18a=9b
2a=b
a/b=1/2

Answer 2

$\frac{5a-2b}{2a+b}= \frac{1}{4}=>4(5a-2b)=2a+b<=> \\ \\ <=>20a -8b=2a+b<=> \\ \\ <=>20a-2=b+8b<=> \\ \\ <=>18a=9b<=> \\ \\ <=>2a=b=> \frac{a}{b}= \frac{1}{2}.$