Lesson 5.1: Solve System of Equations by Inspection

Lesson 5.1: Solve System of Equations by Inspection

By Reed Carbone

Definitions:

System of Equations: A system of equations is a set of equations expressed simultaneously.

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Infinitely Many Solutions: There are an infinite amount of solutions to your system of equations. (i.e. they are the same line)

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No Solutions: There are no solutions to your system of equations. (i.e. the lines are parallel.)​

Subject | Subject

Some text here about the topic of discussion

​Visual:

​Visual:

​Will the system of equations have one solution, no solutions, or infinitely many solutins?

​y = 5x + 12

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y = 5x + 7​

​How many solutions will the system of equations have?

​y = x - 3

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​4x - 10y = 6

​How many solutions does the system of equations have?

​x + 3y = 0

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​12y = -4x

Multiple Choice

How many solutions does the system of equations have?

y = 8x + 2

y = -8x + 2

• None

• Infinitely many

• One

Multiple Choice

How many solutions does the system of equations have?

2x + y = 14

2x + 4y = 14

• One

• None

• Infinitely Many

Multiple Choice

How many solutions does the system of equations have?

y + 3x = 4

y +3x = 9

• One

• None

• Infinitely Many

Multiple Choice

How many solutions will the system of equations have?

8x + 2y = 5

4x + y = 2.5

• One

• None

• Infinitely Many

​Conclusion: Write down 2 complete sentences about what you learned.