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Dmitriy789 [7]
2 years ago
14

2x-5y+7z=6 ,x-3y+4z=3,3x-8y+11z=11. using gauss jordan method that is the answer​

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
6 0

Eliminate <em>x</em> by taking two equations at a time and combining them in the the right parts.

For example, taking the first two equations, we can eliminate <em>x</em> by subtracting 2 times the second equation away from the first:

(2<em>x</em> - 5<em>y</em> + 7<em>z</em>) - 2 (<em>x</em> - 3<em>y</em> + 4<em>z</em>) = 6 - 2×3

(2<em>x</em> - 2<em>x</em>) + (-5<em>y</em> + 6<em>y</em>) + (7<em>z</em> - 8<em>z</em>) = 6 - 6

<em>y</em> - <em>z</em> = 0

Similarly, take 3 times the second equation from the third:

(3<em>x</em> - 8<em>y</em> + 11<em>z</em>) - 3 (<em>x</em> - 3<em>y</em> + 4<em>z</em>) = 11 - 3×3

(3<em>x</em> - 3<em>x</em>) + (-8<em>y</em> + 9<em>y</em>) + (11<em>z</em> - 12<em>z</em>) = 11 - 33

<em>y</em> - <em>z</em> = -22

But these two new equations say 0 = -22, which is not true. So there is no solution to this system.

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