29-38 - Linear Systems with One Solution The system of lin- ear equations has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination. - 2y + z = 1 x + y + 6z = 3 30. {x + y + 3z = 3 29. y + 2z = 5 x + y + 3z = 8 x + 2y + 4z = 7 x + y + z = 2 2х — Зу + 2: %3D 4 x + y + z= 4 -x + 2y + 3: = 17 2x - y 31. 32. 4x + y - 3: = 1 = -7 x + 2y - := -2 + z = 0 2y +:= 4 x + y = 4 3x + 3y - : = 10 33. 34. 2x- y - = = -3 X1 + 2r, - x3 = 35. {2r, X3 = 9 - X = -2 (3x, + 5x, + 2x3 = 22 = 7 2x, + x2 2x (3x1 - 2x, + 4x; = 11 36. X + x =6 10х + 10y - 20: 60 2x - 3y - : = 13 -x + 2y - 5z = 6 37. 38. 15x + 20y + 30z = -25 5x - y - : = 49 -5x + 30y - 10: = 45

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29-38 - Linear Systems with One Solution The system of lin-
ear equations has a unique solution. Find the solution using
Gaussian elimination or Gauss-Jordan elimination.
- 2y + z = 1
x + y + 6z = 3
30. {x + y + 3z = 3
29.
y + 2z = 5
x + y + 3z = 8
x + 2y + 4z = 7
x + y + z = 2
2х — Зу + 2: %3D 4
x + y + z= 4
-x + 2y + 3: = 17
2x - y
31.
32.
4x + y - 3: = 1
= -7
x + 2y - := -2
+ z = 0
2y +:= 4
x + y = 4
3x + 3y - : = 10
33.
34.
2x-
y - = = -3
X1 + 2r, - x3 =
35. {2r,
X3 = 9
- X = -2
(3x, + 5x, + 2x3 = 22
= 7
2x, + x2
2x
(3x1 - 2x, + 4x; = 11
36.
X + x =6
10х + 10y - 20: 60
2x - 3y - : = 13
-x + 2y - 5z = 6
37.
38.
15x + 20y + 30z = -25
5x - y - : = 49
-5x + 30y - 10: = 45
Transcribed Image Text:29-38 - Linear Systems with One Solution The system of lin- ear equations has a unique solution. Find the solution using Gaussian elimination or Gauss-Jordan elimination. - 2y + z = 1 x + y + 6z = 3 30. {x + y + 3z = 3 29. y + 2z = 5 x + y + 3z = 8 x + 2y + 4z = 7 x + y + z = 2 2х — Зу + 2: %3D 4 x + y + z= 4 -x + 2y + 3: = 17 2x - y 31. 32. 4x + y - 3: = 1 = -7 x + 2y - := -2 + z = 0 2y +:= 4 x + y = 4 3x + 3y - : = 10 33. 34. 2x- y - = = -3 X1 + 2r, - x3 = 35. {2r, X3 = 9 - X = -2 (3x, + 5x, + 2x3 = 22 = 7 2x, + x2 2x (3x1 - 2x, + 4x; = 11 36. X + x =6 10х + 10y - 20: 60 2x - 3y - : = 13 -x + 2y - 5z = 6 37. 38. 15x + 20y + 30z = -25 5x - y - : = 49 -5x + 30y - 10: = 45
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