The given sets of equations are,
[tex]\begin{gathered} 5y-4x-9=0\ldots\ldots(1) \\ 9y+11x+20=0\ldots\text{.}\mathrm{}(2) \end{gathered}[/tex]Multiplying equation (1) by 11 and equation (2) by 4 and adding both the equations,
[tex]\begin{gathered} 55y-44x-99+(36y+44x+80)=0 \\ 91y-19=0 \\ y=\frac{19}{91} \end{gathered}[/tex]Substituting the value of y in equation (1),