Solving Equations Graphically

Which ordered pair is the solution of the system graphed below?

• (2, 0)

• (8, 0)

• (-3, 5)

• (3, 8)

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

John was 20 feet away and was running 5 feet per minute. Alex was 50 feet away and was 3 feet per minute. Write a system of two equations for this situation?

• y = 5x + 20

  y = 3x + 50

• y = 20x + 5

  y = 50x + 3

• y = 5x + 50

  y = 2x + 20

• y = 50x + 5

  y = 20x + 3

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

For the problems on this quiz, you will find the solution to the system through graphing. You should write your solution in the form (x,y) using NO SPACES. You may also have "no solution" or "infinite solutions" as your answer. Use NS for "no solution" and IS for "infinite solutions". Write the following at the top of your paper to remind you of how the answers should look, then type DONE into the answer box:

(x,y) with no spaces, NS, IS.

Evaluate responses using AI:

OFF

The solution to this system is _________.

The solution to this system is _________.

The solution to this system is _________.

The solution to this system is _________.

The solution to this system is _________.