Systems of Equations Special

Determine how many solutions the system of equations has:

y= 2x + 4

y= 15x +1

• 1 solution

• No Solutions

• Infinitely many solutions

You can tell the following system of equations has 1 solution because...

y= 3x + 5

y = -3x +2

• They have different y intercepts

• They have different slopes

• 1 solutions always have opposite slopes.

Determine how many solutions the following system of equations has:

y= 4x +4

y = 4x+2

• 1 solution

• No solutions

• Infinitely many solutions

I can tell a system of equations has infinitely many solutions because...

• The equations are eqivalent.

• The equations are opposites.

• The slopes are different.

Determine how many solutions the following system of equations has:

y= 2x + 6

y= 2x-10

• 1 solution

• No solutions

• Infinitely many solutions

Determine how many solutions the following system of equations has:

y= 2x + 4

y= 1/2x -4

• 1 solution

• No solutions

• Infinitely many solutions

Determine the number of solutions for the following system of equations:

y= 3x+3

y=3x+4

• 1 solution

• No solutions

• Infinitely many solutions

Determine the number of solutions for the following system of equations:

y= 4x+10

y= 10x + 4

• 1 solution

• No solutions

• Infinitely many solutions

I can tell a system of equations has no solutions because....

• the equations have the same slope and different y intercepts.

• the slopes are different.

• the y intercepts are different

Which two lines show a system with no solution?

• Purple and Green

• Green and Red

• Purple and Blue

• Red and Blue