Beginning Algebra, 11th Edition

SECTION 4.3 Solving Systems of Linear Equations by Elimination^269

41. 42.

6 x+ 6 y=- 7

9 x+ 4 y=- 3

16 x- 18 y= 17

24 x+ 12 y=- 7

14. 15. 16.

6 x+ 10 y= 0

3 x- 15 y= 0

4 x+ 5 y= 0

2 x- 8 y= 0

5 x- 2 y=- 16

2 x+ y= 8

17. 18. 19.

3 x+ 5 y= 15

5 x+ 4 y= 12

3 x+ 2 y= 24

4 x- 3 y=- 19

5 x- 2 y= 27

3 x+ 3 y= 33

20. 21. 22.

5 x- 6 y=- 20

4 x+ 5 y=- 16

• 3 x+ 6 y=- 9

5 x- 4 y= 15

5 x- 2 y=- 14

2 x+ 3 y= 21

23. 24. 25.

10 x- 4 y= 5

5 x- 2 y= 3

• 3 x+ y=- 12

6 x- 2 y= 24

• 2 x+ 6 y= 8
  
  
  • x+ 3 y= 4
  
  
  
  

26. 27. 28.

x+ 8 y=- 9

5 x- 4 y=- 1

• 3 x+ 4 y= 17

6 x- 2 y=- 22

6 x- 10 y= 4

3 x- 5 y= 1

29. 30. 31.

1

10

x+

1

3

y=

5

6

1

5

x+ y=

6

5

x-

7

2

y=- 25

3 x= 27 + 2 y

• 
  

4

3

x+y=

1

3

3 x= 3 + 2 y

32. 33. 34.

1.5x-2.6y=- 25

0.5x+3.4y= 13

1.2x-0.5y=9.2

2.4x+1.7y=7.6

1

2

x-

1

4

y=-

3

4

1

3

x+

1

2

y=

13

6

35. 36.

4 y=- 14 x

7 x+ 2 y= 0

• 2 x+ 12 = 6 y

x+ 3 y= 6

37. 38.

24 y=- 15 x- 10

5 x+ 8 y= 10

8 x= 3 + 6 y

4 x- 3 y= 1

39. 40.

4 x+ 12 = 9 y

2 x+ 3 y= 0

5 x+ 3 = 2 y

4 x= 3 y- 2

EXERCISES 43– 48

FOR INDIVIDUAL OR GROUP WORK

The graph shows average U.S. movie theater ticket prices from 2000 through 2008.

In 2000, the average price was $5.39,as represented by the point P2000, 5.39. In

2008, the average price was$7.18,as represented by the point Q2008, 7.18. Wo r k

Exercises 43 – 48 in order.

1 2

1 2

RELATING CONCEPTS

‘99 ‘00 ‘01 ‘02 ‘03 ‘04 ‘05 ‘06 ‘07 ‘08

Year

5.00

5.50

6.00

6.50

7.00

8.00

7.50

Source: Motion Picture Association of America.

Average Ticket Price

(in dollars)

Average Movie Ticket Price

P

In 2000, Q

the average

ticket price

was $5.39. In 2008,

the average

ticket price

was $7.18.