Question

4a-b/a+b=5/3
Va roog mult!!​

Answer 1

Răspuns:

Explicație pas cu pas:

$\frac{4a-b}{a+b} =\frac{5}{3}$

$\frac{4a+4b-5b}{a+b} =\frac{5}{3}$

$\frac{4a+4b}{a+b}-\frac{5b}{a+b} =\frac{5}{3}$

$\frac{4(a+b)}{a+b}-\frac{5b}{a+b} =\frac{5}{3}$

$4-\frac{5b}{a+b} =\frac{5}{3}$

$\frac{5b}{a+b} =4-\frac{5}{3}$

$\frac{5b}{a+b} =\frac{12-5}{3}$

$\frac{5b}{a+b} =\frac{7}{3}$

$5b*3 = 7*(a+b)$

$15b = 7a+7b$

$7a = 15b - 7b$

$7a = 8b$

$a= \frac{8}{7} b$

Answer 2

Răspuns:

(4a-b)/(a+b)=5/3

5(a+b)=3(4a-b)

5a+5b=12a-3b

5b+3b=12a-5a

2b=7a

a/b=2/7

b/a=7/2