Question

Stiind ca $\frac{5a-2b}{2a+b} = \frac{1}{4} ,calculati \frac{a}{b}$

Answer 1

5a-2b=1
2a+b=4 => b = 4 - 2a
5a - 2 ( 4 - 2a ) = 1
5a - 8 + 4a = 1 => 9a = 1+8 => 9a=9 => a = 1
b = 4 - 2*1
b= 4 - 2
b= 2

a/b = 1/2

Answer 2

sau

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

$\frac{a}{2a}$ simplificat cu "a" e $\frac{1}{2}$