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We have 5x+6y+7z=178; 6x+4y+2z=124.
Now with the option
(a) 3x+3y+3z=60, we get,
-x+z=58, and 3x-3z=66, hence we donot get a solution for this.
(b)
3x+3y+3z=62.5, we get,
-x+z=53, and 3x-3z=61, hence we donot get a solution for this.
(c)
3x+3y+3z=90, we get,
-x+z=-2, and 3x-3z=6, hence we get using x=1, y=22, z=-1
(d) we have found the solution, and that is the part (c).
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