Exercises on the Systems of Linear Applications in Three Variables

Doing these is good practice for your exams, and what kind of things you will expect. Give these a try.

Solve each system of equations.

1. 3x - 9y + 7z = -21
-4x + 5y - 2z = 5
-11x + y + 12z = -53

2. -2x - 8y - 7z = 87
x + 9y - 6z = -2
-10x + 4y - 5z = 5

3. -11x + 3y + 12z = 61
-12x - 11y + 8z = 195
-10x - 6y - 2z = 134

4. 3x + 4y + 9z = -51
-y - 5z = 24
-11x - 7y - 12z = 55

5. 10x + 3y - z = -55
3x - 6y - 6z = 36
-6x + 2y - 9z = 106

6. 4y + 11z = 85
-3x + 6y - 3z = 3
-8x - 9y - 12z = -70

7. 5x + 5y - z = -360
7x - 3y - 11z = 48
4x - 10y + 5z = 100

8. -8x + 6y - 2z = 554
4x - 3y - 5z = -115
x - 8y - 7z = -178

9. 4x + 4y - 5z = -479
-6x + 4y - 5z = 21
-11x - 2y - 3z = 431

10. 12x - 10y + z = 705
-9x - 7y - 2z = 75
x - 10y + 5z = 663

11. -6x + 5y - 6z = 258
x + y + z = -65
12x - 9y - 8z = 432

12. -4x - 3y + 6z = -108
-11x + 12y - 7z = -458
-x + 8y - 11z = -52

13. 4x - 9y - 3z = -311
-6x - 5y + 2z = 161
-10x - z = 264

14. -11x - 7y - 4z = 48
-9x + 10y - 5z = 795
8x + 2y - 12z = 518

15. -6x - 6y - 12z = 72
11x + y - 4z = -108
-9x + 10y + 2z = -408

16. -5x + 8y + 3z = 122
7x - 2y - 12z = -783
-8x - 9y - 10z = 15

17. 11x - 6y - 3z = -274
4x - 5y + 7z = 145
-4x + 6y - 4z = -132

18. -x + 6y + z = -15
-2y - 4z = -68
-5x - 5y + 4z = 253
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Last edited by Devanté (2006-08-23 06:24:59)