Solving Systems of Equations by Graph

Solve the system of equations by graphing.

• (2, 1)

• No Solution

• Infinitely Many Solutions

• (1, 2)

Solve the system of equations by graphing.

• (2, -5)

• (2, 5)

• (4, -6)

• (-2, -3)

Solve the system of equations by graphing.

• (0, 3)

• (5, 5)

• (-4, 6)

• (6, -4)

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Solve the system of equations by graphing.

• No Solution

• Infinitely Many Solutions

• (-1, 1)

• (-2, -2)

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

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)

The solution to this system of equations is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

Where do these two lines intersect?

• No solution

• (-2, 3)

• (3, -2)

• (2, 3)