Review of Solving Systems of Linear Equations

What is the solution to this system of equations?

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

What is your "favorite" way to solve linear systems?

• elimination

• substitution

• graphing

• equal values method

On Monday Joe bought 10 cups of coffee 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 the coffee?

• 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

Solve:
x + y = 4
-5x - 6y = -18

• (6, -2)

• (-6, 10)

• (2, 2)

• (-2, 6)

When both lines in a system are identical, the system has __________________.

• infinite solutions

• one solution

• no solution

• parallel solutions

• (1,3)

• (1,-3)
  

• (1,1)

• (8,0)

Solve the following System of Equations using the Substitution Method:

• (2, -8)

• (1, -11)

• no solution

• (-12, -40)

What is the solution to this system of equations?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

Solve the system of equations using the Substitution Method

• (-6, 1)

• (0, 0)

• No solution

• Infinite solutions

 4x + 8y = 20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)