Systems of Equations

What is the solution of the system of equations shown in the graph?

• (0,0)

• (3, 1)

• (1, 3)

• (0, 4)

• Yes, (-2, 2) is the solution of the system of equations.

• No, (-2, 2) is NOT the solution of the system of equations.

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• same lines

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 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

Find the solution to the system of equations:

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)