3x+y-6z=17

it is solving a promblem with three variables the question is

3x+y-6z=17

4x+6y-5z=9

5x-6y+4z=-6
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1 Answer

Add 2nd and 3rd equations to eliminate y: 9x-z=3, from which z=9x-3.

Multiply the 1st equation by 6: 18x+6y-36z=102 and add to the 3rd equation:

23x-32z=96. Substitute 9x-3 for z:

23x-32(9x-3)=96,

23x-288x+96=96,

therefore x=0. z=9x-3=0-3=-3.

Substitute x=0 and z=-3 in the first equation:

0+y+18=17, y=-1.

SOLUTION (x,y,z)=(0,-1,-3).

by Top Rated User (1.2m points)

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