Solve Systems of Equations

Solve the system of equations by substitution.

• (-6, 10)

• (-2, 10)

• (-2, 7)

• (-6, 8)

Solve the system of equations by substitution.

y = 4x - 10

y = 3x - 5

• (7 , -15)

• (1, -5)

• (5 , 10)

• (1, 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

• 3x - 2y = 315

  2x - 4y = 450

What is the solution to the system?

• (0, 3)

• (3, 0)

• (3, 1)

• (1, 3)

Solve the system of equations by substitution.

• (3, -24)

• (0, 4)

• (-24, 3)

• No solution

• Infinite solutions

When solving a system of equations, which statement results in no solution?

• 4 = 7

• -2 = 2

• 0 = 3

• all of the above

Which graph represents a system of equations with infinite solutions?

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Solve this system of equations by graphing.

y = 2x

y = 3x + 1

• (-1, -2)

• (2, 1)

• (2, 4)

• (-2, -3)

• (2, 3)

• (-2, -3)

• (3, 2)

• (-3, 2)

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