Systems of Equations Graphing Method

These two lines intersect at _____

• (4, -2)

• (4, 2)

• (-2, 4) 

• No solution

Solve for x & y

7x + 5y = -6

y = -7x + 10

• (2, -4)

• (-4, 2)

• (2, -8)

• (-4, -8)

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

Solve the system by graphing:
y = 6x - 4
y = -x + 3

• (1, 2)

• (2, 1)

• (4, 5)

• (2, 4)

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Graph both equations. What point do they intersect at?
y = 2x
y = 3x + 1

• (-1, -2)

• (2, 1)

• (2, 4)

• (-2, -3)

Solve the following system by graphing.  What is the solution?

• (3, -1)

• (-1, -3)

• (-1, -1)

• (-1, 3)

John and Vicki are training for a 5km race.  John has already run 20 kilometers and plans to run 10 kilometers each day.  Vicki has already run 30 kilometers but plans to run only 5 kilometers per day. The graph below displays each of their training schedules. Which system of equations could be used to determine by which day both John and Vicki will have run the same amount in their training schedule?

• John: y = 20x + 10    Vicki: y = 30x + 5

• John: y = 10x + 20    Vicki: y = 30x + 5

• John: y = -10x + 20  Vicki: y = 5x + 30

• John: y = 10x + 20  Vicki: y = 5x + 30

Solve the following system by graphing.  What is the solution?

• (-4, 2)

• (4, 2)

• (2, -4)

• (2, 4)