System of Equations

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

When does a system of equations have no solutions?

• When the lines cross

• When slopes of the lines are different

• When the slopes are the same

• There is ALWAYS a solution sir!

Intersecting lines have _____ solution(s).

• No

• One

• many

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2, 2)

• (2, 2)

Solve the system of equations

5x + 6y = -10

3x - 2y = -6

• (-2, 0)

• (0, -2)

• (2, 0)

• (0, 2)

What is the solution to this system? x - y = 6 y = 2x - 5

• (1, 3)

• (-1, 3)

• (-1, -7)

• (1, -7)

What is the value of the y-coordinate of the solution to the system of equations

x - 2y = 1

x + 4y = 7

• 1

• -1

• 3

• 4

A sporting goods store sells left haded (x) and right handed (y) gloves. In one month, 12 gloves were sold for a total of $561. Right handed gloves cost $45 each and left handed gloves cost $52. Which system could be solved to determine the number of each type of glove sold?

• x + y = 561

  45x + 52y = 12

• x + y = 12

  52x + 45y = 561

• x + y = 12

  45x + 52y = 561

• x + y = 561

  52x + 45y = 12

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

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

• (2, -5)

• (5, -2)

• (-5, -2)

• (-2, 5)

• (-2, -5)