System of Equations and Inequalities

How many solutions will this system have?

• No Solution

• Infinitely Many Solutions

• One solution

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

How many solutions will this system have? 

• No solution

• One Solution

• Infinitely Many Solutions

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

• Run off the graph

• Don't touch

• Intersect

• Exist

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

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

Solve by graphing.
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Solve for the value of X:

y = -1x - 5

4x - 8y = 4

• -3

• 5

• 3

• -5

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6
• x + y = 4
  x - y = 6
• 4x + 6y = 13
  3x + 7y = 13.5
• 4x - 6y = 13
  3x - 7y = 13.5