Determine the Number of Solutions Systems of Equations

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Intersecting lines have how many solutions?

• One solution

• No solutions

• Infinite solutions

How many solutions?

• one solution

• no solution

• infinitely many solutions

• No solution

Solve the system of equations.

• (-6, 30)

• (-2, 10)

• (44, 39)

• No solution

• Infinite solutions

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

How many solutions will this system have?

• No Solution

• Infinitely Many Solutions

• Two Solutions

• One solution

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

• Infinite Number of Solutions

• No Solution

• One Solution

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

• Infinite Number of Solutions

• No Solution

• One Solution