Problem Solving Systems of Linear Equations

^{A system of linear equations is shown. What is the solution to the system?}

• 1

• -2

• (1, 2)

• (1, -1)

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

What is the solution to this system?

• (-2, -2)
• (2, -2)
• (-2,2)
• (2, 2)

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

When you graph two linear equations and they form the same line,

• you will have no solution.

• you will have one solution.

• you will have infinite solutions.

• you will graph a giraffe.

Lisa and Tammy are selling items at the craft show.  Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

• (1, 12)
• (3, 19)
• (5, 25)
• (0, 10)

Parallel Lines have how many solutions?

• One Solution

• Infinitely Many Solutions

• No Solutions

• As many solutions as you want

Intersecting Lines have how many solutions?

• One Solution

• Infinitely Many Solutions

• No Solutions

• As many solutions as you want