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What is the solution to the system of equations?
X - 3y – Z=-9
-2x + y + 2z = 3
2x + y + 3z = 8

Sagot :

Answer:

x = 1    y = 3    z = 1

Step-by-step explanation:

(1)  x - 3y - z = -9           (2)   -2x + y + 2z = 3        (3)   2x + y + 3z = 8

                                2x(1)     2x - 6y - 2z = -18      (2)  -2x + y + 2z = 3

                                                 - 5y = -15                           2y + 5z = 11

                                                      y = 3                            2(3) + 5z = 11

                                                                                            6 + 5z = 11

                                                                                                  5z = 5

                                                                                                    z = 1

       x - 3(3) - 1 = -9

       x - 9 - 1 = -9

            x - 10 = -9

            x = 1

Note:  If you write your equations across your paper, then the work can just flow down the paper.  It makes it so much easier to show the work you have done.  OK?

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