I found this System of Equations to be a real pain, ive come up with alot various answers and some of them have worked, but then when i try it on others, they dont work. x + 2y = 5 3x +4z = 2 2y + 3w = -2 3z - 2w = 1 Ive tried solving this so many times. Ive gotten z = 29/35, x= 323/35, y = -74/35, w = 26/35. They work on some, but then it doesn't work on the x. Ive also gotten w = 17/35, x = -22/105, z = 23/35, and y = 547/210. Evidently i'm making some mistakes in some areas of solving this system. Any mistake can cause huge catastrophe in Math. Please help me out here.