Systems of Equations with Desmos

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

A system of equations is graphed. Which system of equations is best represented by the graph?

Find the solution to the system. Type answer as ordered pair (x,y)

y = 6x - 11

-2x - 3y = -7

Find the solution to the system. Type answer as ordered pair (x,y) 2x − 3y = −1  y = x − 1

• (-2,-3)

• (0,-1)

• (3,4)

• (4,3)

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Solve the system by substitution.

y = -6x + 5

-2x + y = 5

• (-3, -6)
• (-6, 3)
• (0, 5)
• (-3, 5)

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

Solve the system of inequalities by graphing.

• 
• 
• 
• 

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

What is the Solution to this system?

• (2,-2)
• (-2,2)
• All Real Numbers
• No Solution