Systems of 3 equations

Solve the 3x3 system using the substitution method.

3x + 2y - z = 1

2x + y + z = 8

x + 3y + 4z = 13

• (3,-2,4)

• (3,2,4)

• (1/2,2,2)

• (4,-2,3)

Solve the 3x3 system using the elimination method.

2x + y + 3z = 1

-4x - y - z = -1

x + 2y - z = 12

• (-1,6,-1)

• (3/4,6,1)

• (6,-1,-1)

• (1,6,1)

The school PALS group sold 255 flowers for Valentine's Day. They sold roses at $2 each, daisies at $1 each and lilies at $1.50 each. They sold twice as many roses as lilies. Total sales came to $405. How many of each type of flower was ordered?

• 120 Roses

  75 Daisies

  60 Lilies

• 60 Roses

  75 Daisies

  120 Lilies

• 75 Roses

  60 Daisies

  120 Lilies

• 100 Roses

  70 Daisies

  65 Lilies

3x+2y-z=20

2x+y+z=11

x+3y+4z=7

• (5,2,-1)

• (-1,5,2)

• (2,-1,5)

• (1/2,0,2)

2x+y+3z=11

-4x-y-z=1

x+2y-z=0

• (-2,3,4)

• (3,4,-2)

• (4,-2,3)

• (2,-3,-4)

The local drive-thru coffee shop sells small and

large drinks. On Friday, they sold a total of 85

drinks and made $393.75. If a large drink costs

$5.25 and a small drink costs $3.75, how many

small drinks did they sell on Friday?

• 35

• 50

The local rodeo sells three types of tickets: general admission cost $49, VIP tickets cost $89 and senior citizen tickets cost $39. On Friday, the rodeo sold a total of 1,500 tickets. Sales totaled $80,600. How many of each type of ticket was sold if 100 more senior citizen tickets were sold than VIP tickets?

• General 860

  VIP 270

  Senior Citizen 370

• General 660

  VIP 370

  Senior Citizen 470

• General 1000

  VIP 200

  Senior Citizen 300

• General 860

  VIP 370

  Senior Citizen 270