Systems of Equations Lesson

Systems of Equations

What is a System of Equations?

A system of equations is two equations that are solved or graphed at the same time that use the same set of variables (unknown values)

What is the solution to a system of equations?

The solution to a system of equations is the point (_,_) where the two lines _________.

This can also be called the value where both equations are _____.

​1 Solution: The lines intersect

There are 3 types of solutions to Systems of Equations

​No Solution: Parallel Lines

​Infinite Solutions: The Same Line

Hotspot

Where is the solution to this system of equations?

Multiple Choice

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

Multiple Choice

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Multiple Choice

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Multiple Choice

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Fill in the Blanks

What is the solution for x given the graph to the systems of equations

Multiple Choice

• F

• G

• H

• J