Systems of Linear Equations

Solve the following system of equations using the substitution method:

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Solve the following system of equations using the substitution method:

• (7, 0)

• (0, 7)

• (-5, -7)

• (5, 7)

• (3,1)
• (1,3)
• (-3,1)
• (3,-1)

Solve the following system of equations using the elimination method:

• (6, -6)

• (-6, -6)

• (6, -8)

• (-3, -6)

Solve the following system of equations using the elimination method:

• (5, -3)

• (3, 5)

• (-5, -3)

• (-3, -5)

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6
• x + y = 4
  x - y = 6
• 4x + 6y = 13
  3x + 7y = 13.5
• 4x - 6y = 13
  3x - 7y = 13.5

What is the solution to this system of equations?

• (4, -1)
• (-1, 4)
• (-4, 1)
• (-4, -1)

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

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