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Date ___________________

Systems of Equations in Three Variables
(Answer ID # 0810173)
Solve each system of equations.

1.   -4x + y - z = -10
-9x - y + 4z = -37
-8z = 56



2.   -7x - y - 6z = -87
5x + 5y - 6z = -21
x = 8



3.   -6x + y - z = -4
7z = 7
-10x - 12y - 3z = 33



4.   -9z = 36
x - 5y + 2z = -9
8x - y - 9z = 67



5.   8x + 12y - 3z = 62
-11x - 4y - z = 8
-7x = 14



6.   2x - 10y - z = 88
-5z = -40
-x - y - 4z = -26



7.   -3y = 150
x + 7y - 9z = -48
-2x + 2y + z = -194



8.   2x - 5y - 11z = 447
x = 12
-x - y + z = -1



9.   4x + 3y - z = -329
-6x = 240
4x - 3y - z = -53



10.   3x - 4y - 2z = -266
-x - 6y + 9z = 147
4z = 116



11.   -12x - y - 10z = 1040
-3x - 3y + 2z = -32
7z = -343



12.   -7x = 70
-3x - 2y + 5z = -1
-x - 3y + 3z = 31



13.   6x + 4y - 12z = 364
x - 2y - 2z = 106
-2y - 5z = 249



14.   -10x + 8z = -714
-7x + 9y + 5z = -102
-4x - 5y - 4z = -258



15.   -x + y - 5z = -87
-x - 3y + z = -73
2x + 6y - 3z = 119



16.   -12x + 10y - 8z = -352
2x - y - 4z = -172
4x + 5y + 3z = -19



17.   x - 5y - 11z = 698
x - 4y - 3z = 299
-x + 9y - 7z = -94



18.   -4x + 3y + 3z = -209
-6x - y - 8z = -209
-9x + 4y - 7z = -418




 


Answer Key


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