Do Now 1) 2)

Systems of Equations - Graphing System of Equations – two or more equations together. On the graph, the solution to a system of linear equations is the point where the lines intersect. There are three possibilities when you graph two lines: Intersecting Lines – there is one solution to the system. Parallel Lines – there is no solution to the system. Same Line – there are an infinite number of solutions.

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

Parallel Lines These lines never intersect! Since the lines never cross, there is NO SOLUTION! Parallel lines have the same slope with different y- intercepts.

Coinciding Lines These lines are the same! Since the lines are on top of each other, there are INFINITELY MANY SOLUTIONS! Coinciding lines have the same slope and y-intercepts.

Solving a System of Equations by Graphing Steps: 1)Graph the first equation. 2)Graph the second equation. * Solve for y if necessary 3)Find the point of intersection. ** No Solution or Infinite Solutions are possible

x – y = 3 x + y = 5 1)

2) y = -x + 5 2x + 2y = -8

3) What is the solution of this system? 3x – y = 8 2y = 6x (3, 1) 2.(4, 4) 3.No solution 4.Infinitely many solutions

4) x = 2 2x + y = 1

Graphing Systems w/ Calculators 1)Hit Y= Enter the first equation into Y 1 Enter the second equation into Y 2 2) Hit 2 nd GRAPH 3) Scroll up or down until you find the point where Y 1 and Y 2 are equal.

Homework Finish Classwork Packet Extra Help: Tomorrow 2:00 – 3:00