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Solving Systems of Three Equations

Solve the following systems of equations using substitution and/or elimination. You may use your calculator to check you answers. One method might be to use matrices.

General Questions


2x - z = -1
5x + 2y +2z = 15
x - 3y - z = -8
 
1. 





(1/3)x + 6y - (1/2)z = 10
4x - (1/2)y + z = -11
2x + (1/4)y - (1/4)z = -6
2. 





3x + 2y - z = 0
x - 5y - 2z = -27
-x + y + 4z = 27
3. 





3x + y - z = 2
-2x - 4y + z = 0
x + y = 3
4. 





2.4x - 1.3y + z = 13.4
0.8x + 0.9y - 3.2z = 8
x - y - 4.1z = 10.1
5. 





x + y + z = -1
10x + 3z = 46
4y - z = -30
6. 





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





2x - 3y = 1
8x + y - z = 0
-4x + z = 2
8. 








G Redden

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