Determine the missing coordinate in the ordered pair (?,1/2) so that it will satisfy the given equation

Ok, so
We want to find the missing coordinate in the ordered pair, so that:
[tex]5x-4y=17[/tex]Given that the y-coordinate is 1/2, we could replace:
[tex]\begin{gathered} 5x-4\cdot\frac{1}{2}=17 \\ \\ 5x-2=17 \\ 5x=17+2 \\ 5x=19 \\ x=\frac{19}{5} \end{gathered}[/tex]Therefore, the coordinate in the ordered pair should be 19/5.