Systems of equation by Substitution and Elimination

Systems of Equation by substitution (2) and Elimination

​Questions 10 - 17 from the packet help

​(6:23)

Multiple Choice

Solve the system:

3x - y = 7

and 2x + y = 3

• 
  (-1,2)

• (5,4)

• (2,-1)

• (2,5)

Multiple Choice

Solve for x and y:

3x + 2y = 16 and 7x + y = 19

• (-2,5)

• (-2,-5)

• (2,5)

• (2,-5)

Multiple Choice

Solve the system:

x+ 3y = 9

and 2x+ y = −2

• (-3, 4)

• 
  (-2, 2)

• (-3, -4)

• (0.5, -3)

​System of equations Elimination e.g 1

​3:48

Systems of equation by Elimination Examples 2 and 3

​14 Minutes

Poll

How comfortable are you with solving systems of equations by Graphing and Substitution?

• Boss level

• Almost Boss level

• Hmm...

• I am not there at all

Open Ended

Go ahead now and answer questions 7 -9. Submit your work here.

Multiple Choice

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x

• y = 6.80+.90x
  y = 7.30 + .65x

• x + y = 6.80
  x + y = 7.30

• y + .90x = 6.80
  y + .65x = 7.30

Multiple Choice

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

• x+y=134
  x+y=120

• 3x+3y=134
  4x+3y=120

• 4x+3y=134
  3x+3y=120

• 7xy=134
  6xy=120

Multiple Choice

David is running a concession stand at a soccer game. He sells nachos (x) and sodas (y). Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• x+y=78.5

  1.5x+0.5y=87

• x+y=78.5

  x+y=87

• 1.5x+0.5y=78.5

  1.5x+0.5y=87

• 1.5x+0.5y=78.5

  x+y=87

Multiple Choice

Gracie sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. She sold 21 tickets total. How many of each type of ticket did Gracie sell?

• 12 adults, 9 children

• 9 adults, 12 children

• 10 adults, 11 children

• 11 adults, 10 children