Determine Number of Solutions to Systems of Equations

Intersecting lines have how many solutions?

• One solution

• No solutions

• Infinite solutions

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Based on the equations for each line, determine how many solutions the system would have.

y=x+2

y=x-5

• Infinite Number of Solutions

• No Solution

• One Solution

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

• Intersecting lines

• Identical lines

• Parallel lines

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

• Infinite Number of Solutions

• No Solution

• One Solution

What is the solution to this system?

When you graph the exact same equation twice,

• you will have no solution. 

• you will have infinite solutions. 

• you will graph a giraffe.