To graph you first need to solve Find your x and y You need to get you y by its self to do that you subtract 12x on both side it will look like this 12x +9y=15 -12x. -12x 9y=-12x+15 you are now left with y on the left ( you don't really get ride of the number you just move it to the other side and and because the 12 was + it now becomes a -) 9y=12x+15 Now you need to get y completely by its self by division 9y=12x+15 /9 /9 Y = 1.3x+15 Now plug you y in your equation 12x+9(1.3+15)=15 12x+11.7+135=15 12x+146=15 -146 -146 12x = -131 /12x /12x X= -10.9 12(-10.9) +9y=15 -13.8 + 9y =15 +13.8. +13.8 9y = 18.8 /9. /9 Y= 2.08 So now that you have you x and y you can graph you two points (10.9, 2.08)