1. X1 - X2 = 3x - 2x2 = -1 %3D

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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12
Chapter 1 Systems of Linear Equations
In Exercises 37-56, solve the system of linear equations.
38. 3x + 2y = 2
6x + 4y = 14
X1 - X, =
0.
3x, - 2x, = -1
2x,
6x, + 2.x,
39. 2и +
V = 120
40
X, -
0.
u + 2v = 120
41. 9x -
3y
42. , + x2 = 0
%3D
3x + žy
4x, + x, = 0
y + 2
= 4
x, + 3
44.
4
1
43.
2
+
3
- 2y = 5
45. 0.02r, - 0.05x,
2x - x, = 12
-0.19
46. 0.05x, - 0.03x, = 0.21
0.03x + 0.04x2
x + y + z = 6
2x - y + z 3
0.52
0.07.r + 0.02x, = 0.17
47
48. x + y + z = 2
-x + 3y + 2z = 8
3x
- z = 0
4x + y
= 4
49. 3x, - 2x, + 4x; = 1
50. 5x1
3x, + 2x, = 3
%3D
%3D
|
X1
X2 - 2x3 =
2х, + 4x, —
X3 =7
X; - 11x, + 4x3 = 3
+ 4x3
2x, -- 3x, + 6x3 = 8
51.
2x, + x2 -
3x,
4
52. X1
13
%3D
4x1
+ 2x3
10
4x - 2x2 + x3 =
-2x, + 3x2 - 13x, = -8
2x, - 2x, - 7x3
= - 19
54. x1 - 2x2 + 5x3
3x, + 2x, - x = -2
53.
x - 3y + 2z = 18
2
%3D
5x - 15y + 10z = 18
55.
x + y + z + w = 6
2x + 3y
w = 0
- 3x + 4y +z + 2w 4
x + 2y – z + w 0
56. X1
2x2 - X3
3x2
2x, - x + 4x3
+ 3x4 = 4
X4 = 0
- 2xg = 1
= 5
Transcribed Image Text:12 Chapter 1 Systems of Linear Equations In Exercises 37-56, solve the system of linear equations. 38. 3x + 2y = 2 6x + 4y = 14 X1 - X, = 0. 3x, - 2x, = -1 2x, 6x, + 2.x, 39. 2и + V = 120 40 X, - 0. u + 2v = 120 41. 9x - 3y 42. , + x2 = 0 %3D 3x + žy 4x, + x, = 0 y + 2 = 4 x, + 3 44. 4 1 43. 2 + 3 - 2y = 5 45. 0.02r, - 0.05x, 2x - x, = 12 -0.19 46. 0.05x, - 0.03x, = 0.21 0.03x + 0.04x2 x + y + z = 6 2x - y + z 3 0.52 0.07.r + 0.02x, = 0.17 47 48. x + y + z = 2 -x + 3y + 2z = 8 3x - z = 0 4x + y = 4 49. 3x, - 2x, + 4x; = 1 50. 5x1 3x, + 2x, = 3 %3D %3D | X1 X2 - 2x3 = 2х, + 4x, — X3 =7 X; - 11x, + 4x3 = 3 + 4x3 2x, -- 3x, + 6x3 = 8 51. 2x, + x2 - 3x, 4 52. X1 13 %3D 4x1 + 2x3 10 4x - 2x2 + x3 = -2x, + 3x2 - 13x, = -8 2x, - 2x, - 7x3 = - 19 54. x1 - 2x2 + 5x3 3x, + 2x, - x = -2 53. x - 3y + 2z = 18 2 %3D 5x - 15y + 10z = 18 55. x + y + z + w = 6 2x + 3y w = 0 - 3x + 4y +z + 2w 4 x + 2y – z + w 0 56. X1 2x2 - X3 3x2 2x, - x + 4x3 + 3x4 = 4 X4 = 0 - 2xg = 1 = 5
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