Question

Dacă a+5b/4a+b=7/4, aflați a/b

Answer 1

$\dfrac{a+5b}{4a+b} = \dfrac{7}{4} \Rightarrow 4(a+5b) = 7(4a+b) \Rightarrow$

$\Rightarrow 4a+20b = 28a+7b$

$\Rightarrow 28a-4a = 20b-7b$

$\Rightarrow 24a = 13b$

$\Rightarrow \boxed{\dfrac{a}{b} = \dfrac{13}{24}}$

Answer 2

Răspuns:

Explicație pas cu pas:

(a + 5b)/(4a + b) = 7/4

4(a + 5b) = 7(4a + b)

4a + 20b = 28a + 7b

28a - 4a = 20b - 7b

24a = 13b

a/b = 13/24