Access over 35 million academic & study documents

Week 6 System of Linear Equations Presentation

Content type
User Generated
Subject
Mathematics
Type
Presentation
Rating
Showing Page:
1/32

Sign up to view the full document!

lock_open Sign Up
Showing Page:
2/32

Sign up to view the full document!

lock_open Sign Up
Showing Page:
3/32

Sign up to view the full document!

lock_open Sign Up
End of Preview - Want to read all 32 pages?
Access Now
Unformatted Attachment Preview
Week 6 Only 3 weeks left to go! 11.1 1, 11, 21, 31, 41, 47, 55, 59, 65, 69 System of Linear Equations ● Two or more linear equations made up of two or more variables ● Value of the variables must satisfy all equations in the system of linear equations ● Consistent System ○ ○ ○ Has at least one solution Independent ■ Has a single solution Dependent ■ Equations have same slope and intercepts ■ Infinite number of solutions (represent the same line) ● Inconsistent System ○ ○ Equations represent parallel lines Same slope, different y-intercepts Example 1. Determine whether the ordered pair (5,1) is a solution to the given system of equations. x + 3y = 8 2x - 9 = y Step 1. Substitute points into equations X + 3y = 8 → 5 + 3(1) = 8 → 8 = 8 2x - 9 = y → 2(5) - 9 = 1 → 1 = 1 Step 2. If equations equal, it is a solution 8 = 8 and 1 = 1 , so true for both and is a solution of the system of equations Solving by Graphing…. Example 2 Solve the following system of equations by graphing. Identify the type of system. 2x + y = -8 x - y = -1 Step 1. Solve Each Equation for y 2x + y = -8 → y = -2x - 8 x - y = -1 → -y = -x - 1 → y=x+1 Step 2. Graph equations → Step 3. Confirm that the point of intersection solves the given equations 2(-3) + (-2) = -8 → -8 = -8 (-3) - (-2) = -1 → -1 = -1 Step 4. Identify type of system → Independent (single solution) Solve by Substitution… Example 3 -x + y = -5 2x - 5y = 1 Step 1. Solve first equat ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Anonymous
Really great stuff, couldn't ask for more.

Studypool
4.7
Indeed
4.5
Sitejabber
4.4

Similar Documents