Question

Vă rog exercițiul 22 cine răspunde primul îi dau coroana

Answer 1

Răspuns

Explicație pas cu pas:

a) (a+2b+c)/b = a/b + 2 + c/b = 1/2 + 2 + 3/2 = 4/2 + 2 = 2 + 2 = 4.

b) a+c = 6, b=?

(6+2b)/b = 4

6+2b = 4b

2b = 6

b=3.

Answer 2

a)

$\it \dfrac{a}{b}=\dfrac{1}{2} \Rightarrow a=\dfrac{b}{2}\\ \\ \\ \dfrac{c}{b}=\dfrac{3}{2} \Rightarrow c=\dfrac{3b}{2}\\ \\ \\ a+c=\dfrac{b}{2}+\dfrac{3b}{2} \Rightarrow a+c=\dfrac{4b}{2} \Rightarrow a+c=2b\ \ \ \ (*)$

$\it \dfrac{a+2b+c}{b} = \dfrac{a+c+2b}{b} \ \stackrel{(*)}{=}\ \dfrac{2b+2b}{b}=\dfrac{4b}{b} =4$

b)

$\it a+c=6 \stackrel{(*)}{\Longrightarrow}\ 2b=6 \Rightarrow b=3.$