Răspuns:
[tex] \boxed{\bf \dfrac{a}{b} = 2}[/tex]
Explicație pas cu pas:
[tex] \bf \dfrac{4a + 3b}{8a + 3b} = \dfrac{5}{7} [/tex]
[tex] \bf 7 \cdot(4a + 3b) = 5 \cdot(8a + 3b)[/tex]
[tex] \bf 28a + 21b= 40a + 15b[/tex]
[tex] \bf 21b= 40a +15b - 28a[/tex]
[tex] \bf 21b = 12a + 15b[/tex]
[tex] \bf 21b - 15b= 12a[/tex]
[tex] \bf 21b - 15b= 12a[/tex]
[tex] \bf 6b= 12a \Big |:6[/tex]
[tex] \bf b= 2a[/tex]
[tex] \bf \dfrac{a}{b} = \dfrac{2}{1} [/tex]
[tex] \boxed{\bf \dfrac{a}{b} = 2}[/tex]
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