[tex]\frac{4a+3b}{5a-4b}=\frac{24}{13}[/tex]
[tex]\left(4a+3b\right)\cdot \:13=\left(5a-4b\right)\cdot \:24[/tex]
[tex]52a+39b=120a-96b[/tex]
[tex]52a=120a-135b[/tex]
[tex]-68a=-135b[/tex]
[tex]a=\frac{135b}{68}[/tex]
[tex]\frac{a}{b}= \frac{135}{68}[/tex]
