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Solving By graphing

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Learning Goals

By the end of this lesson I will be able to:

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Remember:

A system of linear equations is a set of ____________________________________.

A solution to a system of linear equations is the _________________________________ between 2 linear equations.

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Solving by Graphing

Follow 3 simple steps:

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A Look Back

Let's look at last night’s homework:

y = -3x + 4

y = 2x - 1

1. Graph them!

2. Identify the POI:

( , )

3. Check your work...

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How to Check

Now that we know that ( , ) is the point of intersection of our lines y = -3x + 4 and y = 2x - 1, let's verify that through substitution:

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Number Next:

y = 3x - 5

y = -x - 1

Check your work…

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Number Next:

y = 2x + 2

y = x - 1

Check your work…

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Number Next:

x - y = -1

3x + y = 9

Check your work…

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Number Next:

x - 2y = -1

3x + 5y = 19

Check your work…

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