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Elza [17]
4 years ago
11

X+y+z=5 -2x-3y+2z=8 3x-y-2z=3

Mathematics
1 answer:
Luba_88 [7]4 years ago
7 0

Answer:

x = 3, y = -2, and z = 4

Step-by-step explanation:

x + y + z = 5                             -2x - 3y + 2z = 8

3x - y - 2z = 3                            x + y + z = 5....multiply by 3

---------------------add                    ----------------------------

4x - z = 8                                      -2x - 3y + 2z = 8

                                                     3x + 3y + 3z = 15

                                                    --------------------------- add

                                                        x + 5z = 23

4x - z = 8

x + 5z = 23....multiply by -4

---------------------

4x - z = 8

-4x - 20z = - 92 (result of multiplying by -4)

------------------------add

-21z = - 84

z = -84/-21

z = 4 <=====

4x - z = 8                                    x + y + z = 5

4x - 4 = 8                                    3 + y + 4 = 5

4x = 8 + 4                                    y + 7 = 5

4x = 12                                         y = 5 - 7

x = 12/4                                        y = -2 <====

x = 3 <====

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