Download presentation

Presentation is loading. Please wait.

Published byRuby Nelson Modified over 8 years ago

1
1.1 Solving Linear Systems by Graphing 9/14/12

2
Solution of a system of 2 linear equations: Is an ordered pair (x, y) that satisfies both equations. Graphically, it’s the point where the lines intersect. Vocabulary System of 2 Linear Equations: A system consisting of two linear equations in two variables. Ex: 6x – 2y = 8 3x – y = 4

3
Example 1 Solve a System by Graphing Solve the system by graphing. Then check your solution algebraically. 33x3x–y = 8x+2y2y = Equation 1 Equation 2 ANSWER () 2, 3

4
Example 1 Solve a System by Graphing You can check the solution by substituting 2 for x and 3 for y into the original equations. Equation 1Equation 2 33x3x–y = 8x+ 2y2y = () 233–3 = ? 28 + = ? () 32 36–3 = ? 28 + = ? 6 33 = 88 = ANSWER ( ).). 2, 3 The solution of the system is

5
Checkpoint Solve the system by graphing. Then check your solution. 1. 3y–x = + 9 y 2x = + ANSWER () 2, 5 – Solve a System by Graphing

6
Checkpoint 2. x3y3y = – 1 xy = + 1 –– ANSWER () 1, 0 Solve a System by Graphing Solve the system by graphing. Then check your solution.

7
Checkpoint 3. = 2x2x3y3y = – 6 ANSWER () 6, 2 Solve a System by Graphing Solve the system by graphing. Then check your solution. 2+4y4yx –

8
Number of Solutions 1 solution : the lines have different slopes Infinitely many solutions :the lines have the same equation. No solution :the lines are parallel (same slope)

9
Homework 1.1 #1, 3, 5, 7-14

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google