Question

2×-2y-2z=40
7×-9y+3z=16
-x+4y-6z=17
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Answer 1

Respuesta:

x = 217/19; y = 135/19; z = 298/19

Explicación paso a paso:

Eliminamos el z primero:

2x - 2y - 2z = 40

7x - 9y + 3z = 16 .....(2)

-x + 4y - 6z = 17

14x - 18y + 6z = 32

-x + 4y - 6z = 17

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Luego eleminamos el x:

14x - 18y = 32

-x + 4y = 17 .......(14)

14x - 18y = 32

-14x + 56y = 238

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38y = 270

y = 270/38

y = 135/19

Hallamos el x:

14x - 18(135/19) = 32

7x - 9(135/19) = 16

7x = 16 + 9(135/19)

7x = 16 + 1215/19

7x = 1519/19

x = 217/19

Hallamos el z:

2x - 2y - 2z = 40

2(217/19) - 2(135/19) - 2z = 40

434/19 - 270/19 - 2z = 40

164/19 - 2z = 40

2z = 164/19 - 40

2z = 596/19

z = 298/19