let x represent the number of cups of additional cups of sugar and y represents the total number of pies she can bake.
Given that;
"Laura has already baked 9 pies, and she can bake 2 pies with each additional cup of sugar she buys"
[tex]y=9+2x[/tex]With 14 additional cups of sugar;
[tex]x=14[/tex]substituting the value of x;
[tex]\begin{gathered} y=9+2(14) \\ y=9+28 \\ y=37 \end{gathered}[/tex]Therefore, the total number of pies Laura can Bake with 14 additional cups of sugar is;
[tex]undefined[/tex]