Solutions of Systems

The solution is:

• (4, 3)

• (3, 4)

• (-4, 3)

• No solution

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

• Parallel lines

• the same line 

• Intersecting lines

What is the solution?

• (6, 3)

• (3, 6)

• (-6, 3)

• No solution

Alex graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)

• (-8,-3)

• (-8,-3)

• (8,3)

What is the solution?

• (2, 2)

• (3, 2)

• (3, 4)

• (2, 3)

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 (12, 14) a solution to the system of equations?
5x-y=74
3x+y=50

• 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, 4) a solution to the system of equations?
x+2y=13
8y=4x+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

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions