1. Systems of Linear Equations
Objective: students will use graphing to find the solution of a linear system.

2. Information
System of linear equation: 2 or more equations same variables
Ex: y = 2x + 1
2x – 3y = 6
Solution of linear system: ordered pair answer for both equations
To Solve
Graph equations
Identify common point
Note: don’t intersect; NO SOLUTION
Note: if same line; MANY SOLUTIONS

3. Is coordinate a solution to equation?
(0, -2)
3x – 2y = 4
-2x – y = -2

4. Is coordinate a solution to equation?
(4,2)
Y = -5x + 22
Y = 8x - 30
(-24, -10)
X – 4y = 16
-2x + 6y = -12

5. Find # of solutions
Y = 4x + 2
Y = x + 2

6. Find # of solutions
-3x + y = -1
Y = 3x + 4

7. Find # of solutions
2x + 4y = 8
3x + 6y = 12

8. Find # of solutions
x + y = 3
x – y = -5

9. Find # of solutions
3x + 2y = 8
y = -3/2x + 4

10. Find # of solutions
Y = 5x - 3
Y = 5x + 2

11. Find # of solutions
Y = -x - 4
y = x + 4

12. Wrap-up
Question/Comments
Ic: review ?’s
Hw: Workbook pg. 113

13. Graph the following and give a solution
Graph the following and give a solution. (ordered pair, no solution or all numbers (3pts each)
y = 3x – 2 y = 3x + 1 y = 2x + 1 y = 1/2x + 2 y = -2x + 2
3x + 2y = 6 y = -3/2x + 3 y = 8 x = -2 -2y + x = 8 3x + 4y = 4