
Introduction to Systems of Linear Equations
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
James Gonzalez
FREE Resource
5 Slides • 7 Questions
1
Solving Systems of Equations with Graphing
2
One Solution
The two lines intersect (touch) at ONE POINT
Your answer should be an ordered pair (x, y)
What is its location?
3
Multiple Choice
4
No Solution
The two lines NEVER intersect (touch)
The lines are PARALLEL
5
Multiple Choice
How many solutions?
6
Infinitely Many Solution
The equations are on SAME LINE
You have infinitely many solutions.
7
Multiple Choice
How many solutions will this system have? (Hint: There is a pink line and a blue line, one on top of the other.)
one solution
no solution
infinitely many solutions
8
Different types of solutions
1. One solution: The solution is where the points intersect
2. No solution: The lines will never intersect so this system does not have an answer
3. Infinite solutions: The lines have the same equation.
9
Multiple Choice
10
Multiple Choice
Which system of linear equations has no solution?
11
Multiple Choice
What is the solution to the following system of equations?
(-3, 1)
(1, 3)
Infinitely Many Solutions
No Solution
12
Multiple Choice
How many solutions will this system have?
one solution
no solution
infinitely many solutions
Solving Systems of Equations with Graphing
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