Question

solve the equation by gauss Jordan method
2x + y - z = 4,
x - 2y - 5z = 3,
3x + 5y + z = 16.

​congratulations​

Answer 1

Answer:

$216$

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Answer 2

Answer:

x+y+z=9→(1)

2x+y-z=0→(2)

2x+5y+7z=52→(3)

Select the equations (1) and (2), and eliminate the variable x.

x+y+z=9 ×2→ 2x + 2y + 2z = 18

−

2x+y-z=0 ×1→ 2x + y - z = 0

y + 3z = 18 →(4)

Select the equations (1) and (3), and eliminate the variable x.

x+y+z=9 ×2→ 2x + 2y + 2z = 18

−

2x+5y+7z=52 ×1→ 2x + 5y + 7z = 52

- 3y - 5z = -34 →(5)

Select the equations (4) and (5), and eliminate the variable y.

y+3z=18 ×3→ 3y + 9z = 54

+

-3y-5z=-34 ×1→ - 3y - 5z = -34

4z = 20 →(6)