Question

solve the gauss elimination methad 3x+y-z=3,2x-8y+z=-5​

Answer 1

Answer:

Standard form: 3x+y-z=3; 2x-8y+z=-5; x-2y+9z=8;

3, 1, -1, 3

2, -8, 1, -5

1, -2, 9, 8

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substitute/eliminate x = -1/3y +1/3z+1

3, 1, -1, 3

0, -26/3, 5/3, -7

0, -7/3, 28/3, 7

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substitute/eliminate y = +5/26z+21/26

3, 0, -21/26, 57/26

0, -26/3, 5/3, -7

0, 0, 231/26, 231/26

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3, 0, 0, 3

0, -26/3, 0, -26/3

0, 0, 231/26, 231/26

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Solution: x = 1; y = 1; z = 1;