Systems of Equations

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. 

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

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

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)

• (5,4)

• (4,5)

• (2,-1)

Parallel Lines never intersect because...

• they have the same slopes. 

• they have the same y-intercept.

• they have different slopes.

• they have different y-intercepts. 

What is the solution to the system of equations?

• (-1, -3)

• (3, 1)

• (1, 3)

• (-3, -1)

What is the solution to the system of equations?

• (2, -2)

• (2, 2)

• No Solution

• (-2, -2)