First equation is 9(x-squared)+25(y-squared)-72x=81
Second equation is 9(x-squared)-15(y-squared)=9
Graph these two conical sections and let us know how you get the graphs with such things as vertex and foci. Show three common points of these two conical sections. Then add the third equation:12x+6y=-12 and determine one point that all three conical sections share. Please go in to the basics of how to make these graphs from the equations.
Three graphs are drawn and their common point is found. Details are given as to how to how the draw the graphs and how to find vertices, foci and directrices. The drawing of the graph with all three equations is shown.