Systems of Equations

Does the system have one, none or infinite solutions? 8y + 4x = 12 x = -2y + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

2x - y = 0

4x - y = 0

• (1,2)

• (0,0)

• No Solutions

• Infinite Solutions

Tags

CCSS.8.EE.C.8B

Solve the system by elimination.  

−8x − 10y = 20
−8x − 6y = −4 

• Infinite number of solutions  
• (6, 5) 
• (−6, −5) 
• (5, −6) 

Solve by elimination 
  2x + 9y = -7
6x - 3y = 9 

• (-1, -1) 
• (2,-1)
• (1,1)
• (1,-1)

Write an ordered pair for your answer in this format: (x, y)

-3x - 3y = 3

y = -5x - 17

A boy has seven more nickels than quarters. The total value of the coins is $4.90. Which system could be used to find out how many nickels and quarters he has?

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Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have?  Which system best represents the situation? 

• x + y = 1430
  20x + 50y = 49
• x + y = 49
  10x + 5y = 1430 
• x + y = 49
  20x + 50y = 1430
• x + y = 49
  x + y = 1430