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 yintersect 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 yintercept are said to be consistent dependent systems. Consistent dependent systems have infinitely many solutions since the lines coincide.

Basic Lesson
Demonstrates how to graph linear systems when given three points. Practice problems are provided. Graph: y = x + 2 and y = 2x + 1 For both equations, assume values of x and find the value of y. Show all three points (x , y) on graph. Draw both lines.
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Intermediate Lesson
Explores how to graph linear systems with four lines. Practice problems are provided. The point of intersection of the two lines (1,1) is the solution to the system of equations.
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Independent Practice 1
Solve the following system of equations graphically. The answers can be found below.
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Homework Worksheet
12 Graphing Linear Systems problems for students to work on at home. Example problems are provided and explained.
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Fun Fact
In correspondence with Fermat, Blaise Pascal laid the foundation for the Theory of Probability.