Graphing

Solving Equations

Example

Solve the following system of equations by graphing.

Graph3_ex3-1

Step 1. Graph both lines on the same coordinate axes using your method of choice.

Since these two lines are in standard form, finding intercepts is an appropriate method of graphing.

Line 1

2x +3y = 6

When x = 0, y = 2 which results in (0,2)

When y = 0, x = 3 which results in (3, 0)

Line 2

4x -y = -2

When x = 0, y = 2 which results in (0, 2)

When y = 0, x = Graph3_ex1-2 which results in ( Graph3_ex1-2 , 0)

Graph2_ex3-4

The graph shows that the lines intersect at (0,2).

Therefore the solution is x = 0, y = 2.