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Algebra II Exercises: Solving Systems with Three Unknown Variables


Question Group #1
Directions and/or Common Information: Solve each system of equations algebraically or using matrices.


2a - b + 2c = -7
-4a - 3b + 4c = -33
-a + b + c = -3
1. 





2b + 5c = -1
2a + 3b + c = -5
a - 2b - 3c = -6
2. 





3a + 5b = 23
-a -3b + c = -17
a + b + 3c = -7
3. 





-4a - b + 3c = -14
-4a + 3b - 5c = 14
2a - 2b - 5c = 15
4. 





2a + 5b + 7c = 5
a - 4b + 3c = 20
-a + 5b + 4c = 5
5. 





7a + 4b - 4c = -20
-a + 2b + 2c = 6
-a - 3b - 2c = -5
6. 





5a - b + c = 23/12
a + 6b = 5/2
-3a + 7c = -(13/14)
7. 





-3a - 3b + 7c = 67
3c = 21
-3a + 2b - 2c = -16
8. 





8r - 43 = 3k + u
-5k - 2r = 57 - 8u
7u = 40 + 3r + 2k
9. 





10x + 8y - 4z = -3.8
x + 9y + 3z = -2.3
-x + 9y + 3z = -2.5
10. 








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