Graphing System of Equations Word Problems

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44

• 4x + 2y = 15
  x + y = 44

• x = 2y + 44
  4x = y + 15

• 2x - 4y = 44
  x - y = 15

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

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Decide if the following statements are true or false about the graph.

Groups:

(a) True

,

(b) False

• The slope(m) of the lines are equal

• The slopes are equal, so the system has infinitely many solutions

• The lines are perpendicular which means they will not ever cross.

• The line are parallel, so the system has no solution

• The lines will not intersect, so the system has no solution

• The lines will eventually touch, so the system has one solution

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Which statement describes Kayla's solutions?

• Her solutions are correct.

• She marked the y-intercepts instead of the x-intercepts.

• She marked the y-intercepts instead of the intersection point of the two lines.

• She marked only the y-intercepts instead of the x- and y-intercepts.

Graph the systems of equations. What is the solution?

Solve the system of equations by graphing.

• (4, 7)

• (3, 5)

• (6, 7)

• (5, 3)

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist