Graphing Linear Systems Worksheets

How to Graph Linear Systems - A system of linear equation comprises two or more linear equations. The solution of a linear system is the ordered pair that is a solution to all equations in the system. One way of solving a linear system is by graphing. The solution to the system will then be in the point in which the two equations intersect. It's a good idea to always check your graphical solution algebraically by substituting x and y in your equations with the ordered pair. A linear system that has exactly one solution is called a consistent independent system. Consistent means that the lines intersect and independent means that the lines are distinct. Linear systems compose of parallel lines that have the same slope but different y-intersect do not have a solution since the lines won't intersect. Linear systems without a solution are called inconsistent systems. Linear systems composed of lines that have the same slope and the y-intercept are said to be consistent dependent systems. Consistent dependent systems have infinitely many solutions since the lines coincide.