Graphing Systems of Linear Equations and Inequalities

Solve Systems of Linear Equations & Inequalities

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How do I Solve a System of Linear Equations by Graphing?

Multiple Select

What are the different possible solutions to a system of linear equations?

• No Solution

• One Solution

• Two Solutions

• Infinitely Many Solutions

• Conditional Solution

Multiple Select

Which of the following have infinitely many solutions?

Multiple Choice

Which graph shows the solution to:

$$y=-3x+5$$     &     $$y=\frac{2}{3}x-6$$  

Fill in the Blank

What is the solution to the system of equations (write your answers as an ordered pair, no spaces)?

How do I Solve a System of Linear Inequalities?

Multiple Choice

Which answer best describes the solution set to a system of inequalities?

• Every point in the blue OR the red region.

• Every point in the OVERLAPPING red/blue region.

• Every point in the BLUE region

• Every point in the RED region

• ONLY the points on the lines.

Multiple Select

The system of inequalities is:

y ≤ -x

y < 2x + 3

What are the solutions (select all that apply)?

• (-1, 0)

• (0, 1)

• (-1, 2)

• (0, -2)

• (-1, -1)

Multiple Choice

What graph represents the inequalities?

Multiple Choice

Which system of inequalities matches the graph?

• y > 2x - 4

  y < 2

• y < 2x - 4

  y < 2

• y > 2x - 4

  y < 2

• y < 2x - 4

  y < -2