What is a solution to a system of Linear Equations?
The solution to a system of linear equations are any ordered pairs that make both equations true. If an ordered pair (x, y) is solution to the system then when you put the values for the x and y coordinates into BOTH equations then the ordered pair must make both equations true. The examples below will list two equations labeled Equation A and Equation B and a point will be given as a possible solution. The x and y coordinates of the point will be plugged into both equations for the x and y variables. If that x and y pair makes both equations true then the point is a solution and if does not it is not a solution.