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7.2 Graphing Linear Systems
1
June 09, 2014
Solve:
1. x + 1 = 2
2. 3x = 12
3. 4(x 1) = 8x
4. 2x + 3y = 12
7.2 Graphing Linear Systems
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June 09, 2014
Consider this...
A store display had packages of 8 batteries and packages of 4 batteries. The total number of batteries was 320. There were 1.5 times as many packages of 4 batters as packages of 8 batteries. How many of each package of batteries were there?
7.2 Graphing Linear Systems
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June 09, 2014
In mathematics, the rule is....
One equation, one unknown
This means that we need have one equation for each unknown that we have.
Therefore, if we have two unknowns, we have to have two equations with these same two unknowns.
Unit 7Systems of Linear Equations
7.2 Graphing Linear Systems
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June 09, 2014
Two equations of linear functions in the same two variables is called a system of linear functions (also called a linear system).
How do we know an equation is linear functions?
7.2 Graphing Linear Systems
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June 09, 2014
There are THREE ways of solving linear systems...
1. Graphically2. Substitution3. Elimination
7.2 Graphing Linear Systems
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June 09, 2014
7.2 Solving a System of Linear Equations Graphically
We can solve a linear system by graphing the two lines.
The intersection of these two lines is the solution to the linear system.
7.2 Graphing Linear Systems
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June 09, 2014
These are two LINEAR equations, so we can use any techniques to graph lines from previous units!
Steps:1. Convert both equations to slope-intercept or slope-point form2. Graph one line3. Graph the other line4. Approximate the intersection - THIS IS YOUR ANSWER!!
7.2 Graphing Linear Systems
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June 09, 2014
7.2 Graphing Linear Systems
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June 09, 2014
Ex 1: Solve this linear system
7.2 Graphing Linear Systems
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June 09, 2014
Ex 1: Solve this linear system
7.2 Graphing Linear Systems
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June 09, 2014
7.2 Graphing Linear Systems
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June 09, 2014
