A system is a set of connected parts that form a whole. A system of equations is a set of equations where a solution is an ordered pair or point that satisfies both equations. To solve a system of equations graphically, write each equation in slope-intercept form, graph both equations on the same coordinate plane, and estimate the point of intersection of the two graphs. This point of intersection represents the solution to the system of equations and can be checked algebraically by substituting the coordinates back into the original equations.