Mathematics, 03.09.2020 19:01 gonzalesnik

X+2y-z=3
-2x-3y+z=-1
6x-3y-z=-7

Answers: 2

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Answer from: Pattondestiny

| x = -1 y = -4 z = 3

Step-by-step explanation:Solve the following system:

{x+2 y+4 z = 3 | (equation 1)

x-y-2 z = -3 | (equation 2)

3 x+z = 0 | (equation 3)

Swap equation 1 with equation 3:

{3 x+0 y+z = 0 | (equation 1)

x-y-2 z = -3 | (equation 2)

x+2 y+4 z = 3 | (equation 3)

Subtract 1/3 × (equation 1) from equation 2:

{3 x+0 y+z = 0 | (equation 1)

0 x-y-(7 z)/3 = -3 | (equation 2)

x+2 y+4 z = 3 | (equation 3)

Multiply equation 2 by -3:

{3 x+0 y+z = 0 | (equation 1)

0 x+3 y+7 z = 9 | (equation 2)

x+2 y+4 z = 3 | (equation 3)

Subtract 1/3 × (equation 1) from equation 3:

{3 x+0 y+z = 0 | (equation 1)

0 x+3 y+7 z = 9 | (equation 2)

0 x+2 y+(11 z)/3 = 3 | (equation 3)

Multiply equation 3 by 3:

{3 x+0 y+z = 0 | (equation 1)

0 x+3 y+7 z = 9 | (equation 2)

0 x+6 y+11 z = 9 | (equation 3)

Swap equation 2 with equation 3:

{3 x+0 y+z = 0 | (equation 1)

0 x+6 y+11 z = 9 | (equation 2)

0 x+3 y+7 z = 9 | (equation 3)

Subtract 1/2 × (equation 2) from equation 3:

{3 x+0 y+z = 0 | (equation 1)

0 x+6 y+11 z = 9 | (equation 2)

0 x+0 y+(3 z)/2 = 9/2 | (equation 3)

Multiply equation 3 by 2/3:

{3 x+0 y+z = 0 | (equation 1)

0 x+6 y+11 z = 9 | (equation 2)

0 x+0 y+z = 3 | (equation 3)

Subtract 11 × (equation 3) from equation 2:

{3 x+0 y+z = 0 | (equation 1)

0 x+6 y+0 z = -24 | (equation 2)

0 x+0 y+z = 3 | (equation 3)

Divide equation 2 by 6:

{3 x+0 y+z = 0 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = 3 | (equation 3)

Subtract equation 3 from equation 1:

{3 x+0 y+0 z = -3 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = 3 | (equation 3)

Divide equation 1 by 3:

{x+0 y+0 z = -1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = 3 | (equation 3)

Answer from: Quest

step-by-step explanation:

Answer from: Quest

The correct answer is 7

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X+2y-z=3
-2x-3y+z=-1
6x-3y-z=-7...

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