System of Equations

If two lines never touch, the system has...

• One Solution

• No Solutions

• Infinite Solutions

If two lines are the SAME, the system has...

• One Solution

• No Solutions

• Infinite Solutions

If two lines cross once, the system has...

• One Solution

• No Solutions

• Infinite Solutions

What is the solution to the system?

• (0,3)

• (0,-1)

• No solutions

• Infinite Solutions

How many solutions would the following system have?

2y+x=4

2y=-x+4

(Hint: Rearrange one of the equations)

• Infinite Solutions

• One Solution

• No Solutions

What is the solution?

What is the solution?

What is the solution?

Parallel Lines have how many solutions?

• As many solutions as you want

• Infinitely Many Solutions

• No Solutions

• One Solution

Does the system have one, none or infinite solutions?

8x + 4y = 12

y = -2x + 3

• No solution(parallel lines)

• (0,3)

• (3,0)

• Infinitely many solutions