Linear equations (two variables)

• 0

• 1

• infinitely many

How many solutions does the system have?

y = 2x -11

-3y = -6x -15

• One solution

• Infinitely many solutions

• No solution

• Two solutions

If lines are parallel, how many solutions does the system have?

• One solution

• No solution

• Infinite solutions

Does the following system have One Solution, No Solution, or Infinite Solutions.

y = 4x + 8

y = -5x + 3

• One solution

• No solution

• Infinite solution

• many solutions

What type of solution will the following system of equation have: 3x + 2y = 5 and 6x + 4y = 10

• one solution

• no solution

• infinitely many solutions

Two lines in a linear system have the same slope and same y-intercepts. How many solutions does the linear system have?

• One Solution

• Two Solutions

• No Solution

• Infinitely Many Solutions

How many solutions does this system have?

 $y=9x-1$  
 $y=9x+6$  

• One solution

• No solution

• Infinite solutions

How many solutions does the system of equations below have?

y = -x + 6

y = -x + 8

• One Solution

• No Solution

• Many Solutions

How Many Solutions?

y = .5x + 3

y = 2x + 4

• ONE

• NONE

• INFINITE

If two lines NEVER intersect, how many solutions will the system have?

• One Solution

• Two Solutions

• Infinitely Many Solutions

• No Solution