Solving Systems By Graphing

Warm – Up! 1. What are the 2 forms that equations can be in? 2. Graph the following two lines and give their x-intercept and y-intercept: a) 2x – y = 5 b) 3x + 4 = y

Solving Systems by Graphing A system of equations is when you have two or more equation using the same variables. The solution to the system is the point that satisfies both of the equations. This point will be an ordered pair.

Solutions for a System of Equations 1. One Solution 2. No Solution 3. Infinitely Many Solutions

Intersecting Lines One solution The point where the lines intersect is your solution. The solution to this graph is (1,2).

Parallel Lines No solution They never intersect! Parallel lines have the same slope with different y-intercepts.

Coinciding Lines Infinitely many solutions These lines are the same! Coinciding lines have the same slope and the same y-intercept.

Example 1:

Example 2:

Example 3:

Begin your practice!!