# Test the consistency and solve 5x 3y 7z=4, 3x 26y 2z=9, 7x 2y 10z=5

2

2014-08-01T09:25:14+05:30

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5 x + 3 y + 7 z = 4    - eq 1
3x + 26 y + 2 z  = 9  - eq  2
7x + 2 y + 10 z = 5  - eq  3

Multiply eq 1 by 3 and eq 2 by 5 sub tract,
9-130) y + 21-10)z = 12-45  =>
-121 y +11 z = -33  => 11y - z = 3
=> z = 11y - 3    --- eq 4    Substitute this in eq 1 & 3

5x+3y+77y-21 = 4 =>    5x+80y = 25  => x+16y = 5
7x+2y+110y-30 = 5 =>  7x+112y = 35  => x + 16y = 5

=> x =5 - 16y    -- eq 5
You have infinite solutions for this.
( x,y,z )  =  (5-16y ,  y , 11y-3 )      for any real value of y  is the solution.

2014-08-01T20:52:42+05:30
5X+3Y+7Z=4SO. YOU CAN DO IT OTHER YOURSELF I SHOWED YOU A BIT