
Number of Solutions of Linear Equations
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
11 Slides • 3 Questions
1
3.1 - Solve Systems of Linear Equations by Graphing
2
Objective
To solve a linear system using a graph or a table.
3
Vocabulary
Solution
A solution to an equation is the value of the variable that makes the equation true.
4
In this unit we are going to be solving systems of linear equations.
A system of equations is two or more equations containing two or more variables.
5
So can a system of equations have a solution?
Yes!
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Solution to a System of Equations
The set of all points that satisfy each equation. In most cases this is the one point that makes both equations true.
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There are three types of solutions
One Solution | No Solution | Infinitely Many Solutions |
|---|---|---|
(Lines intersect) | (Lines are parallel) | (Same line) |
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We will learn three methods to solve systems of linear equations.
The first is solving by graphing. We will graph both equations on the same coordinate plane. The point where they cross (called "the point of intersection") is the solution to the system.
9
Let's practice one
10
Draw
Solve the system
y=−35x−6
y=61x+5
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12
Multiple Choice
Try Number 2. Solve the system
y=5
y=2x+7
(6, 5)
(5, 3)
(-1, 5)
(5, 17)
13
Poll
How do you feel about your ability to solve systems of linear equations by graphing?
14
Awesome. Keep practicing...
3.1 - Solve Systems of Linear Equations by Graphing
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