Solve Systems of Equations Graphing

When you graph the exact same equation twice,

• you will have no solution. 

• you will have one solution.

• you will have infinite solutions. 

• you will graph a giraffe. 

Graph both equations. What point do they intersect at?
y = x + 3
y = -x - 1

• (1, 3)

• (-1, 0)

• (-2, 1)

• (3, -1)

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

Which system of linear equations is shown on the graph?

• y= 4x-2 and y=1/4x-2

• y=-1/4x-2 and y=-4x-2

• y=1/4x-2 and y=-4x-2

• y=-1/4x-2 and y=4x-2

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

Is the ordered pair (-3, -7) a solution to the following system? 
y = 4x + 5
y = x – 4

• YES

• NO

• All ordered pairs are solutions to this system

• This system has NO Solutions

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3

y=5x-2

• Infinite Number of Solutions

• No Solution

• One Solution

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

y=-3x+2

• Infinite Number of Solutions

• No Solution

• One Solution

Choose the two equations that represent the system graphed.

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)