[tex] \dfrac{x}{y} =\dfrac{3}{4}=>\boxed{x = \dfrac{3y}{4}}[/tex]
[tex]\dfrac{2 \cdot \dfrac{3y}{4} + 3y}{4 \cdot \dfrac{3y}{4} + y} = [/tex]
[tex]\dfrac{ \not2 \cdot \dfrac{3y}{ \not4} + 3y}{ \not4 \cdot \dfrac{3y}{ \not4} + y} =[/tex]
[tex]\dfrac{\dfrac{3y}{2} + 3y}{3y + y} =[/tex]
[tex]\dfrac{\dfrac{3y + 2 \cdot3y}{2}}{4y} =[/tex]
[tex]\dfrac{\dfrac{9y}{2}}{4y} =[/tex]
[tex]\dfrac{9y}{2} \div\dfrac{4y}{1}=[/tex]
[tex]\dfrac{9y}{2} \cdot\dfrac{1}{4y}=[/tex]
[tex]\dfrac{9\not y}{2} \cdot\dfrac{1}{4 \not y}=[/tex]
[tex] \boxed{ \dfrac{9}{8} }[/tex]
~~~~~~Mult succes!~~~~~
