a student sells small and large greeting cards decorated at a craft fair. The small cards coast 3 dollars per card, and the large cards coast 5 dollars per card. The student collects 95 for selling a total of 25 cards. what are the variables what is the system how do you graph it how many of each card did the student sell please and thank you

[tex]x-the\ small\ cards\\y-the\ large\ cards\\\\ \left\{\begin{array}{ccc}3x+5y=95\\x+y=25\end{array}\right\\\left\{\begin{array}{ccc}5y=-3x+95&/:5\\y=-x+25\end{array}\right\\\left\{\begin{array}{ccc}y=-\frac{3}{5}x+19\\y=-x+25\end{array}\right\\\\----------------------[/tex]

[tex]y=-\frac{3}{5}x+19\\\\for\ x=0\to y=-\frac{3}{5}\cdot0+19=19\to A(0;\ 19)\\for\ x=10\to y=-\frac{3}{5}\cdot10+19=-6+19=13\to B(10;\ 13)\\----------------------------\\\\y=-x+25\\\\for\ x=0\to y=-0+25=25\to C(0;\ 25)\\for\ x=10\to y=-10+25=15\to D(10;\ 15)\\----------------------------\\\\a\ graph\ on\ the\ picture\\\\Answer:x=15\ and\ y=10.[/tex]