Solving Systems of Equations with Elimination Multiplying by Negative One

______ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

Michelangelo decided to order Pizza Hut last night. He purchased 3 pizzas and 2 orders of breadsticks for a total of $29.50. Donatello ordered 2 pizzas and 3 orders of breadsticks last Sunday for a total of $23. Set up a system. Let "p" represent the price per pizza and "b" represent the price of an order of breaksticks.

• 3p + 2b = 29.50
  2p + 3b = 23

• 3p + 2b = 23
  2p + 3b = 29.50

• 3b + 2p = 29.50
  2b + 3p = 23

• 5bp = 29.50
  5bp = 23

This system has _____ solutions.

• 0

• 1

• 2

• Infinitely many

Solve using elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

• (1, -12)

• (-5, -30)

• (-5, 10)

• (1, 18)

Solve the system:

x + 6y = 17

-x + 3y = -8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

• A

• B

• C

• D

Solve the system by elimination.

• (2,5)

• (-2,5)

• (-2,-5)

• (2,-5)

Solve using Elimination Method:

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Solve by elimination:

7x - 9y = 29

7x + 2y = - 15

• (-4,-1)

• (-1.-4)

• (-1,4)

• (-1,6)