text: what are the two types of systems of equations that do not have a unique solution? help! i'm going back to college at age 46! also i don't get this one: write the equation in standard form of the straight line with slope of 2 and passing through the point (1,3) anyone??? help!! there are three possibilities when finding the solution to a system of equations: 1.  there are no solutions, 2.  there is only one (unique) solution, and 3.  there are infinitely many solutions.  an example of 1:  x+y = 3 2x+2y = 4 here there is no x and y pair that satisfy both equations  an example of 3: 2x+3y = 5 4x+6y = 10 here there are infinitly many solutions ((1,1), (2,1/3), (3,-1/3), and so on.  for your second question:  y = mx + b  since you already have m (the slope), then plug in the x and y value to get b.  3 = 2(1) + b so b = 3-2 = 1 so y = 2x + 1