Jx + y = 8 Įx + 2y = -7 S5x - y = 21 |2r + 3y = -12 ( x + 3y = 5 \21. 20. |x + y = -3 22. 19. lx - y = 4 |2r – 3y = -8 2 [ 4x + 5y = -3 24. S3x – 6y : |2x + 4y = 3x = 24 = 2 3 25. 23. x + 2y = 0 26. -2y = -8 5x + 4y 3r - Sy = -10 = 1 Зх + Зу 3—1 S2r + y = 1 27. 14x + 2y = 3 2х — у3 0 x - y = 5 1-3x + 3y = 2 28. 30. 8 4х + у 3 29. | 4x + 2y = 12 ( x + 2y = 4 31. Зх — у3 7 32. S 2x – 3y = -1 33. [3x 2y = 0 |2r + 4y = 8 |9х Зу21 34. 5x + 10y = 4 10x + y = 11 1 -x +=y = 1 3 y = -5 -Y- 2r + 3y = 6 x + y = -2 35. 37. 36. 38. 3 X - v = x - 2y = 8. = -1 y = 11 4 1 3 1 = 8 y 4 2x - S 3x – 5y = 3 y = -1 -- - - y 39. 40. l15x + 5y = 21 1 x + 59- 41. 3 = 0 y 42. 3 = 2 2y Hint: Let u = and v = and solve for u and v. Then x = and y = + - -'e + 6112 x - 2y + 3z = 2x + y + z = = 6 2x + y -4 7 X - y 2r \ 45. - 3z = 16 -2y + 4z = - 2z = -11 43. 44. 4 2y + z = 4 3x -3x + 2y - 2z = -10 716 CHAPTER 11 Systems of Equations and Inequalities 2х + у - 32 %3 -2r + 2y + z = -7 3x - 4y - 3z = 7 x - y - z== 1 2x + 3y + z = 2 2r - 3y - z = 0 -x + 2y + z = 5 3x - 4y - z = 1 46. 47. 48. 3x + 2y = 0 2r - 3y - z = 0 3x + 2y + 2z = 2 x + 5y + 3z = 2 2r - 2y + 3z = 6 4х — Зу + 2г - 0 -2r + 3y – 7z = 1 3x - 2y + 2z = 6 7x - 3y + 2z = -1 3y + 4z = y - z = 1 -x + 2y - 3z = -4 3x - 2y - 72 = 0 49. 50. 51. 52. 2r 6 x + y - z = 3x - 2y + z = -5 x + 3y - 2z = 14 x + 2y - z = -3 2x - 4y + z = -7 -2r + 2y - 3z = y + z = -4 x + 4y - 3z = -8 53. 2x - 3y + 4z = -15 5х + у - 2г D 55. 3x - y + 3z = 12 x + y + 6z = 1 54. 56. 12 4
Jx + y = 8 Įx + 2y = -7 S5x - y = 21 |2r + 3y = -12 ( x + 3y = 5 \21. 20. |x + y = -3 22. 19. lx - y = 4 |2r – 3y = -8 2 [ 4x + 5y = -3 24. S3x – 6y : |2x + 4y = 3x = 24 = 2 3 25. 23. x + 2y = 0 26. -2y = -8 5x + 4y 3r - Sy = -10 = 1 Зх + Зу 3—1 S2r + y = 1 27. 14x + 2y = 3 2х — у3 0 x - y = 5 1-3x + 3y = 2 28. 30. 8 4х + у 3 29. | 4x + 2y = 12 ( x + 2y = 4 31. Зх — у3 7 32. S 2x – 3y = -1 33. [3x 2y = 0 |2r + 4y = 8 |9х Зу21 34. 5x + 10y = 4 10x + y = 11 1 -x +=y = 1 3 y = -5 -Y- 2r + 3y = 6 x + y = -2 35. 37. 36. 38. 3 X - v = x - 2y = 8. = -1 y = 11 4 1 3 1 = 8 y 4 2x - S 3x – 5y = 3 y = -1 -- - - y 39. 40. l15x + 5y = 21 1 x + 59- 41. 3 = 0 y 42. 3 = 2 2y Hint: Let u = and v = and solve for u and v. Then x = and y = + - -'e + 6112 x - 2y + 3z = 2x + y + z = = 6 2x + y -4 7 X - y 2r \ 45. - 3z = 16 -2y + 4z = - 2z = -11 43. 44. 4 2y + z = 4 3x -3x + 2y - 2z = -10 716 CHAPTER 11 Systems of Equations and Inequalities 2х + у - 32 %3 -2r + 2y + z = -7 3x - 4y - 3z = 7 x - y - z== 1 2x + 3y + z = 2 2r - 3y - z = 0 -x + 2y + z = 5 3x - 4y - z = 1 46. 47. 48. 3x + 2y = 0 2r - 3y - z = 0 3x + 2y + 2z = 2 x + 5y + 3z = 2 2r - 2y + 3z = 6 4х — Зу + 2г - 0 -2r + 3y – 7z = 1 3x - 2y + 2z = 6 7x - 3y + 2z = -1 3y + 4z = y - z = 1 -x + 2y - 3z = -4 3x - 2y - 72 = 0 49. 50. 51. 52. 2r 6 x + y - z = 3x - 2y + z = -5 x + 3y - 2z = 14 x + 2y - z = -3 2x - 4y + z = -7 -2r + 2y - 3z = y + z = -4 x + 4y - 3z = -8 53. 2x - 3y + 4z = -15 5х + у - 2г D 55. 3x - y + 3z = 12 x + y + 6z = 1 54. 56. 12 4
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 7PT: Solve for x:3(2x5)3(x7)=2x9.
Related questions
Question
In Problems 19–56, solve each system of equations. If the system has no solution, say that it is inconsistent. For Problems 19–30, graph
the lines of the system
![Jx + y = 8
Įx + 2y = -7
S5x - y = 21
|2r + 3y = -12
( x + 3y = 5
\21.
20.
|x + y = -3
22.
19.
lx - y = 4
|2r – 3y = -8
2
[ 4x + 5y = -3
24.
S3x – 6y :
|2x + 4y =
3x = 24
= 2
3
25.
23.
x + 2y = 0
26.
-2y = -8
5x + 4y
3r -
Sy = -10
= 1
Зх + Зу 3—1
S2r + y = 1
27.
14x + 2y = 3
2х — у3 0
x - y = 5
1-3x + 3y = 2
28.
30.
8
4х + у 3
29.
| 4x + 2y = 12
( x + 2y = 4
31.
Зх — у3 7
32.
S 2x – 3y = -1
33.
[3x
2y = 0
|2r + 4y = 8
|9х Зу21
34.
5x + 10y = 4
10x + y = 11
1
-x +=y =
1
3
y = -5
-Y-
2r + 3y = 6
x + y = -2
35.
37.
36.
38.
3
X - v =
x - 2y =
8.
= -1
y = 11
4
1
3
1
= 8
y
4
2x -
S 3x – 5y = 3
y = -1
-- - -
y
39.
40.
l15x + 5y = 21
1
x + 59-
41.
3
= 0
y
42.
3
= 2
2y
Hint: Let u =
and v =
and solve for u and v. Then x =
and y =
+
- -'e
+
6112](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F626794b3-0f40-4a18-816c-ab493ec41de8%2F1549d2fe-ee9b-48c0-a66f-6b1caa837806%2Fmof06pb_processed.png&w=3840&q=75)
Transcribed Image Text:Jx + y = 8
Įx + 2y = -7
S5x - y = 21
|2r + 3y = -12
( x + 3y = 5
\21.
20.
|x + y = -3
22.
19.
lx - y = 4
|2r – 3y = -8
2
[ 4x + 5y = -3
24.
S3x – 6y :
|2x + 4y =
3x = 24
= 2
3
25.
23.
x + 2y = 0
26.
-2y = -8
5x + 4y
3r -
Sy = -10
= 1
Зх + Зу 3—1
S2r + y = 1
27.
14x + 2y = 3
2х — у3 0
x - y = 5
1-3x + 3y = 2
28.
30.
8
4х + у 3
29.
| 4x + 2y = 12
( x + 2y = 4
31.
Зх — у3 7
32.
S 2x – 3y = -1
33.
[3x
2y = 0
|2r + 4y = 8
|9х Зу21
34.
5x + 10y = 4
10x + y = 11
1
-x +=y =
1
3
y = -5
-Y-
2r + 3y = 6
x + y = -2
35.
37.
36.
38.
3
X - v =
x - 2y =
8.
= -1
y = 11
4
1
3
1
= 8
y
4
2x -
S 3x – 5y = 3
y = -1
-- - -
y
39.
40.
l15x + 5y = 21
1
x + 59-
41.
3
= 0
y
42.
3
= 2
2y
Hint: Let u =
and v =
and solve for u and v. Then x =
and y =
+
- -'e
+
6112
![x - 2y + 3z =
2x + y + z =
= 6
2x + y
-4
7
X - y
2r
\ 45.
- 3z = 16
-2y + 4z =
- 2z = -11
43.
44.
4
2y + z = 4
3x
-3x + 2y - 2z = -10
716 CHAPTER 11 Systems of Equations and Inequalities
2х + у - 32 %3
-2r + 2y + z = -7
3x - 4y - 3z = 7
x - y - z== 1
2x + 3y + z = 2
2r - 3y - z = 0
-x + 2y + z = 5
3x - 4y - z = 1
46.
47.
48.
3x + 2y
= 0
2r - 3y - z = 0
3x + 2y + 2z = 2
x + 5y + 3z = 2
2r - 2y + 3z = 6
4х — Зу + 2г - 0
-2r + 3y – 7z = 1
3x - 2y + 2z = 6
7x - 3y + 2z = -1
3y + 4z =
y - z = 1
-x + 2y - 3z = -4
3x - 2y - 72 = 0
49.
50.
51.
52.
2r
6
x + y - z =
3x - 2y + z = -5
x + 3y - 2z = 14
x + 2y - z = -3
2x - 4y + z = -7
-2r + 2y - 3z =
y + z = -4
x + 4y - 3z = -8
53.
2x - 3y + 4z = -15
5х + у - 2г D
55.
3x - y + 3z = 12
x + y + 6z = 1
54.
56.
12
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F626794b3-0f40-4a18-816c-ab493ec41de8%2F1549d2fe-ee9b-48c0-a66f-6b1caa837806%2Fqla6ht5_processed.png&w=3840&q=75)
Transcribed Image Text:x - 2y + 3z =
2x + y + z =
= 6
2x + y
-4
7
X - y
2r
\ 45.
- 3z = 16
-2y + 4z =
- 2z = -11
43.
44.
4
2y + z = 4
3x
-3x + 2y - 2z = -10
716 CHAPTER 11 Systems of Equations and Inequalities
2х + у - 32 %3
-2r + 2y + z = -7
3x - 4y - 3z = 7
x - y - z== 1
2x + 3y + z = 2
2r - 3y - z = 0
-x + 2y + z = 5
3x - 4y - z = 1
46.
47.
48.
3x + 2y
= 0
2r - 3y - z = 0
3x + 2y + 2z = 2
x + 5y + 3z = 2
2r - 2y + 3z = 6
4х — Зу + 2г - 0
-2r + 3y – 7z = 1
3x - 2y + 2z = 6
7x - 3y + 2z = -1
3y + 4z =
y - z = 1
-x + 2y - 3z = -4
3x - 2y - 72 = 0
49.
50.
51.
52.
2r
6
x + y - z =
3x - 2y + z = -5
x + 3y - 2z = 14
x + 2y - z = -3
2x - 4y + z = -7
-2r + 2y - 3z =
y + z = -4
x + 4y - 3z = -8
53.
2x - 3y + 4z = -15
5х + у - 2г D
55.
3x - y + 3z = 12
x + y + 6z = 1
54.
56.
12
4
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