Răspuns :
[tex]\it \dfrac{3a-2b}{4a+3b} = \dfrac{1}{24} \Rightarrow 24(3a-2b)=4a+3b \Rightarrow 72a-48b=4a+3b \Rightarrow \\ \\ \\ \Rightarrow 72a-4a=3b+48b \Rightarrow 68a=51b \Rightarrow \dfrac{a}{b} = \dfrac{51}{68}[/tex]
[tex]\it \dfrac{3a-2b}{4a+3b} = \dfrac{1}{24} \Rightarrow 24(3a-2b)=4a+3b \Rightarrow 72a-48b=4a+3b \Rightarrow \\ \\ \\ \Rightarrow 72a-4a=3b+48b \Rightarrow 68a=51b \Rightarrow \dfrac{a}{b} = \dfrac{51}{68}[/tex]