How Many Solutions? Systems of Equations

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

• intersecting lines
• parallel lines
• same lines
• skew lines

What is the solution to this system?

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

How many solutions does this system of equations have?

• Two Solutions
• No Solutions
• Infinite Solutions
• One Solution

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

What is the solution?

• No solution
• One Solution
• Infinite Solutions
• Two Solutions

How many solutions does this system of equations have?

• No Solutions
• Infinite Solutions
• One Solution
• Two Solutions

How many solutions are there in the following systems of equations?
y = 12/4x + 3
y= 9/3x - 3

• One Solution
• No Solution
• Two Solutions
• Infinite or Many Solutions

How many solutions are there in the following systems of equations?
y= 5x - 12
y = 4x - 3

• One Solution
• No Solution
• Two Solutions
• Infinite or Many Solutions

How many solutions are there in the following systems of equations?
y = 3x -4
y= 6/2 x -4

• One Solution
• No Solution
• Two Solutions
• Infinite or Many Solutions

If a system of equations has infinitely many solutions, what does the graph look like? 

• same lines
• parallel lines
• intersecting lines