Graphing Linear Systems

                     Lesson 1

Problem:               Graph:  y = x + 1 and y = 2x + 7

Step 1: For both equations, assume values of x and find the value of y.

x	0	1	2	x	0	1	2
y	1	2	3	y	1	3	5

Solution Show all three points (x, y) on graph. Draw both lines.

                                                           Step 2:                                  

Solution The point of intersection of the two lines (0, 1) is the solution to the system of equations.

                                                             Step 3:    

 Solution                  The answer is:  (0, 1)

 Step 4:                                                                      

 Complete   

                                                            Try two practice problems:  

Solve the following system of equations graphically.

A.

y = 6 – 4x y = 4 - 2x

B.

y = 6x + 8 y = 4

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