[tex] \frac{3}{4} a = \frac{2}{3} b[/tex]
[tex]a = \frac{8}{9} b[/tex]
[tex]a + b = \frac{34}{10} = \frac{17}{5} [/tex]
[tex] \frac{8}{9} b + b = \frac{17}{5} [/tex]
[tex] \frac{17}{9} b = \frac{17}{5} [/tex]
[tex]b = \frac{9}{5} [/tex]
[tex]a = \frac{8}{5} [/tex]