Solution Types of Systems of Equations

How many solutions does the system have?

4x - 2y = 8

y = -2

• Exactly one solution

• No Solutions

• Infinitely many solutions

How many solutions does the system of equations have?

4x + 5y = 17

4x + 5y = 17

• One Solution

• No Solutions

• Infinitely Many Solutions

How many solutions does the system have?

• Exactly one solution

• No Solutions

• Infinitely many solutions

How many solutions does the system have?

y = 3x + 8

3y = 9x + 24

• Exactly one solution

• No Solutions

• Infinitely many solutions

How many solutions does the system have?

y = 4x + 9

y = 4x - 5

• Exactly one solution

• No Solutions

• Infinitely many solutions

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

What is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions