Verified answer

Explicação passo a passo:

2x - y + 3z = 6 >>>>>>>>>>>>1

x + 2y - z = 3 >>>>>>>>>>>>>2

3x - 2y + 4z = 9>>>>>>>>>>>3

calculando >>>>>1 e >>>>2

2x - 1y + 3z = 6 >>>>>>>1

1x + 2y - 1z = 3 >>>>>>>2 ( vezes - 2 )

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2x - 1y + 3z = +6

-2x - 4y + 2z = - 6

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// - 5y + 5z =0 ( - 1 )

5y - 5z = 0 >>>>>>>>>4

calculando >>>>>>2 com >>>>>3

1x + 2y - 1z = 3 >>>>>>>>>>>>>2 ( vezes - 3 )

3x - 2y + 4z =9 >>>>>>>>>>>>>3

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-3x - 6y + 3z = - 9

3x - 2y + 4z = 9

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// - 8y + 7z = 0 ( -1 )

8y - 7z = 0 >>>>>>>5

Calculando >>>>>>4 e >>>>>>5

5y - 5z = 0 >>>>>>>4 ( vezes -8 )

8y -7z =0 >>>>>>>>>>>>5 ( vezes5 )

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-40y + 40z = 0

40y - 35z = 0

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// 5z = 0

z = 0/5 = 0 >>>>>>resposta z

substiuindo em >>>>>>4 acima o valor de z por 0

5y - 5z = 0

5y - 5 * 0 = 0

5y -0 = 0

5y =0

y = 0/5 = 0 >>>>resposta y = 0

Para achar x em >>>>>>1 acima substitui y por 0 e z por 0

2x - 1y + 3z = 6

2x - 1 * 0 + 3 * 0 = 6

2x - 0 + 0 =6

2x = 6

x = 6/2 = 3 >>>>> resposta x