System of Equations

• -1

• 2

• 1

• No solution

• Infinite many solutions

• yes

• no

• yes

• no

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

On Monday Mr. Beignet bought 10 coffees and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of each item?

• 10c + 5d = 14.25

  5c + 10d = 16.50

• 10c + 5d = 16.50

  5c + 10d = 14.25

• c + d = 10

  5c + 10d = 16.50

• c + d = 5

  5c + 10d = 16.50

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.  After solving the system below, Alexandra gets a solution of (45,90) 3x + 2y = 315 2x + 4y = 450 What does the solution (45,90) mean?

• Hair dyes take Alexandra 45 minutes & haircuts take 90 minutes.

• Haircuts take Alexandra 45 minutes & hair dyes take 90 minutes.

• Haircuts cost $45 & hair dyes cost $90.

• Hair dyes cost $45 & haircuts cost $90.

• Caroline can order 12 games from Plan A & 6 games from Plan B.

• If Caroline orders 12 games each month, both plans will cost $6.

• Caroline can order 6 games from Plan A & 12 games from Plan B.

• If Caroline orders 6 games each month, both plans will cost $12.

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)