Question

a+b/2a-b=5/7 cine ma poate ajuta? / linia de fractie​

Answer 1

Explicație pas cu pas:

cred ca ai (a + b) / (2a - b) = 5/7

7a + 7b = 10a - 5b

3a = 12b

a = 4

b = 1

Answer 2

Răspuns:

$\bf \purple{a = 4}$

$\bf \red{b=1}$

Explicație pas cu pas:

$\bf \dfrac{a+b}{2a-b} =\dfrac{5}{7} \implies 5\cdot(2a-b)=7\cdot(a+b)$

$\bf 10a-5b=7a+7b$

$\bf 3a-5b=7b$

$\bf 3a=7b+5b$

$\bf 3a=12b~~~\bigg|:3$

$\bf \underline{a=4b}$

Aflam valoarea lui a si a lui b  

$\bf 5\cdot(2\cdot4b-b)=7\cdot(4b+b)$

$\bf 5\cdot(8b-b)=7\cdot 5b$

$\bf 5\cdot 7b=35b$

$\bf 35b=35b~~~\bigg|:35$

$\bf \red{\underline{b=1}}$

$\bf a = 4\cdot 1\implies \purple{\underline{a = 4}}$

==pav38==