Question

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

Answer 1

Eliminate x 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 x by subtracting 2 times the second equation away from the first:

(2x - 5y + 7z) - 2 (x - 3y + 4z) = 6 - 2×3

(2x - 2x) + (-5y + 6y) + (7z - 8z) = 6 - 6

y - z = 0

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

(3x - 8y + 11z) - 3 (x - 3y + 4z) = 11 - 3×3

(3x - 3x) + (-8y + 9y) + (11z - 12z) = 11 - 33

y - z = -22

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