[tex]\dfrac{a+5b}{4a+b} = \dfrac{7}{4} \Rightarrow 4(a+5b) = 7(4a+b) \Rightarrow[/tex]
[tex]\Rightarrow 4a+20b = 28a+7b[/tex]
[tex]\Rightarrow 28a-4a = 20b-7b[/tex]
[tex]\Rightarrow 24a = 13b[/tex]
[tex]\Rightarrow \boxed{\dfrac{a}{b} = \dfrac{13}{24}}[/tex]
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
