Systems of Equations by Graphing

Systems of Equations by Graphing

Elizabeth Borres

At the end of the lesson, students will be able to:

1. Define systems of linear equations.

2. Solve the systems by graphing.

3. Identify the type of solution the systems have.

Let us review our previous lesson.

(Prepare paper, pen and calculator)

Multiple Choice

Consider the equation:

y = -x + 4

Identify the slope and y-intercept.

• m=4, b=-x

• m=-x, b=4

• m=1, b=4

• m=-1, b=4

Multiple Choice

Which of the following equations match the given graph?

• x ≥ -1
• x ≤ -1
• x > -1
• x < -1

Multiple Choice

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3

Multiple Choice

Select the correct graph for each inequality.

• A

• B

• C

• D

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• _D

What is a system of linear equations?

• A system of linear equations is simply two or more linear equations using the same variables.

• We will only be dealing with systems of two equations using two variables, x and y.

• If the system of linear equations is going to have a solution, then the solution will be an ordered pair (x , y) where x and y make both equations true at the same time.

• We will be working with the graphs of linear systems and how to find their solutions graphically.  

Example 1: Determine whether the given point (-3, 1) is a solution of the following system.

 x – y = – 4  and 2x + 10y = 4

• 
  

Example 2:Determine whether the given point is a solution of the following system

 point: (4, 2)

system: 2x – 5y = – 2  and  3x + 4y = 4

• 
  

How to Solve the systems of Equations by Graphing?

Solve the system of equations by graphing. 

x – 2y = 0

x + y = 6

Multiple Choice

• A

• B

• C

• D

Poll

Do you have any question(s)?

Multiple Choice

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• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D