Solving Systems of Equations by Graphing

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Now determine what the solution to this system is!

• c = 12 s = 8

• c = 14 s = 8

• c = 8 s = 14

• c = 8 s = 12

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

• x + y = 1550
  y  = 4x

• x + y = 1550
  y = x + 4

• y - x = 1550
  y = 4x

• y = 1550 + x
  y = x + 4

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other.

Let x and y represent the number of yards each individual player rushed.

Now determine what the solution to the system is!

• x = 310 y = 1240

• x = 1240 y = 310

• x = 1545 y = 5

• x = 5 y = 1545

Solve the system of equations by graphing.

• (-3, 2)

• (-3, 6)

• (-3, -2)

• (-3, -6)

Solve the system of equations by graphing.

• (2, 2)

• (2, 5)

• (5, 2)

• Infinitely Many Solutions

Solve the system of equations by graphing.

• (2, 1)

• No Solution

• Infinitely Many Solutions

• (1, 2)

Solve the system of equations by graphing.

• (2, -5)

• (2, 5)

• (4, -6)

• (-2, -3)

Solve the system of equations by graphing.

• (0, 3)

• (5, 5)

• (-4, 6)

• (6, -4)

Solve the system of equations by graphing.

• No Solution

• Infinitely Many Solutions

• (-1, 1)

• (-2, -2)

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions