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EliminationPart 2

How manyAnswers?

Describe theGraph

10 Point

20 Points

30 Points

40 Points

50 Points

10 Point 10 Point 10 Point 10 Point

20 Points 20 Points 20 Points 20 Points

30 Points

40 Points

50 Points

30 Points 30 Points 30 Points

40 Points 40 Points 40 Points

50 Points 50 Points 50 Points

Real-WorldElimination

Solve

x + y = 30

x – y = 6

(18, 12)

Solve

4n + 3m = 11

4n + 5m = 5

(5, -3)

Solve

-10x + 7y = 25

10x + 5y = 35

(1, 5)

Solve

2a + b = 4

a – b = 2

(2, 0)

Solve

-2x – 3y = 4

2x – 4y = 3

(-.5, -1)

Solve

2e + 3f = 18

5e – f = 11

(3, 4)

Solve

4w + 5z = 7

6w – 2z = -18

(-2, 3)

Solve

10x + 3y = 10

5x + 12y = 22

(2, 1)

Solve

-8r + 3s = 10

10r – 2s = -2

(1, 6)

Solve

10x + 3y = 34

5x + 4y = 37

(1, 8)

A manager of an apartment building needs to buy 45 air conditioners, one for each

apartment. Two models are available, one at $110 and the

other at $160. How many of each should she buy to spend $6,000?

$110 24

$160 21

For Mother’s Day a florist sells two bouquets. A bouquet of 5 roses and 10 carnations costs $8.75. A larger bouquet has a dozen roses and 15 carnations and costs $16.50. Find the cost of one rose and one carnation.

Rose .75

Carnation .50

A wildlife management station is to care for sick animals. At present

they have only birds and deer. The animals being cared for have 25 heads and 74 feet. (No animal is

missing a foot!) How many of each type of animal are at the station?

13 birds and 12 deer

This past weekend the school bake sale was held. On

Saturday the total admission for 3 adults and 3 children

was $51. On Sunday, the total admission was $25 for 1 adult

and 3 children. How much does each ticket cost?

Adults $13

Children $4

A sandwich with 2 slices of bread and 4 lsices of ham has 350 calories.

A sandwich with 2 slices of bread and 2 slices of ham has 240 calories. How many calories in each slice of

bread and in each slice of ham?

Ham 55 calories

Bread 65 calories

Tell if the system has no solution, one solution, or infinitely many solutions.

Y = 3x + 1

Y = 3x - 7

No solution

Y = 3x + 1

Y = 3x - 7

Tell if the system has no solution, one solution, or infinitely many solutions.

Y = 3x + 1

Y = 1x + 3

One Solution

Tell if the system has no solution, one solution, or infinitely many solutions.

3x + 2y = -4

6x + 4y = 7

No Solution

Tell if the system has no solution, one solution, or infinitely many solutions.

2x – 5y = 7

4x – 10y = 14

Inf. Many

Tell if the system has no solution, one solution, or infinitely many solutions.

4a – b = -13

2a + 10b = 46

One solution

Describe the graph.

Y= 2(x + 3)

Y = 2x + 3

No solution

Parallel Lines

Write a system with infinite solutions and

draw the graph.

Y = 6x + 1

Y = 6x + 1

One line

Write a system with no solution and draw the

graph.

Y = 3x +1

Y = 3x – 2

Parallel Lines

Write a system with one solution and draw the

graph.

Y = 7x – 8

Y = 2x + 2

Hit in one spot

How can you tell if there is no solution to a system of equations by looking at

the equation?

They have the same slope.

Make your wager

Final Answer

Final Question