Model Linear Systems

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE
• FALSE

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

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

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

• (3, -1)
• (-1, -3)
• (-1, -1)
• (-1, 3)

What is the solution?

• (2, 2)
• (3, 2)
• no solution
• (2, 3)

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

• intersecting lines
• parallel lines
• one line

What does it mean if a linear system has one solution?

• The lines intersect at one point
• The lines do not intersect
• The lines intersect at many points

The solution (x, y) to a system of equations is the point where they...? 

• cross the y-axis
• Don't touch
• Intersect
• Exist

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

• (-4, 2)
• (4, 2)
• (2, -4)
• (2, 4)