Hi, there-- THE PROBLEM: Solve for x and y. X + Y + 6XY = 174 A SOLUTION: First of all, you are correct that one solution to this equation is (X,Y)=(3,9). There infinitely many pairs of X and Y that make this equation true. One strategy to find solutions would be to rewrite the equation in "Y=" form so you have an explicit expression for Y in terms of X. Isolate the terms that have a Y in them on the left side of the equation by subtracting X from both sides.Factor Y out of each term on the left side. Divide both sides of the equation by (1-6X). Once you have the equation in this "Y=" form, you can: 1. use a graphing calculator to investigate. 2. find any X-intecept by setting the numerator equal to zero. 3. find any y-intercept by setting X=0. Here is a link to a graph of your equation. Any point on the curve is a solution to the equation. (You will need to copy and paste it into your browser. http://graphsketch.com/?eqn1_color=1&eqn1_eqn=(174-X)%2F(1%2B6X)&eqn2_color=2&eqn2_eqn=&eqn3_color=3&eqn3_eqn=&eqn4_color=4&eqn4_eqn=&eqn5_color=5&eqn5_eqn=&eqn6_color=6&eqn6_eqn=&x_min=-17&x_max=17&y_min=-10.5&y_max=10.5&x_tick=1&y_tick=1&x_label_freq=5&y_label_freq=5&do_grid=0&do_grid=1&bold_labeled_lines=0&bold_labeled_lines=1&line_width=4&image_w=850&image_h=525 Hope this helps! Feel free to email if you have any questions. Mrs. Figgy math.in.the.vortex@gmail.com