Nature of Solutions for Systems of Equations

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• 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

What is the solution?

• No solution

• (0, 2)

• (0, -4)

• (3, -3)

What is the solution to the system?

• (6, 8)

• (8, 6)

• (-6, 8)

• No solution

Is (4, 5) a solution to the system of equations?
4x+y=21
-3x-6y=10

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations

Is (-2,7) a solution to the system of equations?
y=4x+15
-3x+5y=41

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations

Is (0, 16) a solution to the system of equations?
-3x=4y+2
2y=4x+32

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations

Is (5, 6) a solution to the system of equations?
x+2y=16
-3x-5y=-33

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations

Is (1, -8) a solution to the system of equations?
4x+y=-4
3x=-2y-13

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations

Is (5, -5) a solution to the system of equations?
4x-4y=40
2x+2y=20

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations