Determining Number of Solutions for a System of Equations

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

• 1 solution

• 2 Solutions

• No Solution

• Infinite Solutions

How many solutions?

• 1 Solution

• 2 Solutions

• No solutions

• Infinite solutions

How many solutions?

• 1 solution

• 2 solutions

• No solutions

• Infinite Solutions

Why will this system have infinite solutions?

• The equations are both negative.

• The equations are the same.

• They have the same y-intercept but not the same slope.

• They have the same slope but not the same y-intercept.

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

This system has _____ solutions

• no

• 1

• 2

• Infinitely many

Why will these graphs never cross?

• They have the same y-intercept.

• They have the same slope.

• They are both lines.

• They are both positive slopes.