SOLUTION: 8. Solve the system using Gauss-Jordan elimination. -12x1 - 4x2 = -20 3x1 + x2 = -5 x1 = -4, x2 = 6 x1 = -3, x2 = 7 x1 = -4, x2 = 7 No solution

Question 397966: 8. Solve the system using Gauss-Jordan elimination.
-12x1 - 4x2 = -20
3x1 + x2 = -5
x1 = -4, x2 = 6
x1 = -3, x2 = 7
x1 = -4, x2 = 7
No solution

9. Solve the system using Gauss-Jordan elimination.
-x1 + x2 - x3 = 5
x1 + x2 + 4x3 = -1
-3x1 + x2 + x3 = 11
x1 = -3, x2 = 2, x3 = 0
x1 = -3, x2 = 2, x3 = 1
x1 = -2, x2 = 1, x3 = 1
No solution

10. Write the system as a matrix equation and solve using inverses.
x1 + 2x2 - x3 = -3
-2x1 - x2 + 3x3 = 0
-4x1 + 4x2 - x3 = -12
x1 = 2, x2 = -3, x3 = 1
x1 = 1, x2 = -2, x3 = 1
x1 = 1, x2 = -2, x3 = 0
x1 = 1, x2 = -3, x3 = 1
12. Solve the system.
x2 + y2 = 4
y - x = 2
(0, 2), (2, 0)
(0, 2), (-2, 0)
(0, -2), (2, 0)
(0, -2), (-2, 0)

13. Solve the system.
3x2 - 2y2 = -5
x2 + y2 = 25
(3, 4), (3, -4), (-3, 4), (-3, -4)
(4, 4), (5, 4), (3, -4), (1, �4)
(-3, 4), (1, 4), (-3, -4), (2, -4)
(1, 4), (2, �4), (�4, 3), (�3, �3)

14. Find the coordinates of the corner points using the following:
x - y = -2
2x + y = -1
x = -2
(-2, 0)
(-2, 0), (-1, 1)
(-2, 0), (-1, 1), (-2, 3)
(-1, 1), (-2, 3)
15. Esther wants to spend no more than $60 buying gifts for her friends Barb and Wanda. She wants to spend at least $20 on Wanda's gift.
Let B represent the amount Esther spends on Barb's gift and W represent the amount she spends on Wanda's gift. Write a system of linear inequalities that models the information.
B + W < 60
B < 20
W > 0
B + W > 60
B < 20
W > 20
B + W < 60
B > 0
W > 20
B + W > 60
B > 0
W > 20

16. 2x + y < 20
x + 3y < 30
x, y > 0
Maximize z = 3x + 12y subject to the region.
Maximum value of 114 at (6, 8)
Maximum value of 60 at (20, 0)
Maximum value of 120 at (0, 10)
Maximum value of 30 at (10, 0)

17. 2x + y > 14
x + 3y < 12
x, y > 0
Minimize z = 3x + 5y subject to the given region.
Minimum value of 20 at (0, 4)
Minimum value of 21 at (7, 0)
Minimum value of 28 at (6, 2)
Minimum value of 36 at (12, 0)

18. x + 2y < 18
x + y < 10
2x + y < 18
x, y > 0
Maximize z = 3x + 4y subject to the given region.
Maximum value of 42 at (6, 6)
Maximum value of 38 at (2, 8)
Maximum value of 36 at (0, 9)
Maximum value of 32 at (8, 2)

19. x + 2y < 18
x + y > 10
2x + y < 18
x, y > 0
Minimize z = 3x + 5y subject to the given region.
Minimum value of 27 at (9, 0)
Minimum value of 45 at (0, 9)
Minimum value of 34 at (8, 2)
Minimum value of 0 at (0, 0)

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
This is way too many questions to post. I recommend you find an example of how to solve such a question in your textbook (or online), and use that example to solve all the other problems.
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