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 6x+5y+2z=830 3x+7y+4z=820 x=22-2z solve for the variables


Are you sure the third equation is x=x-22 ?
That equation has no solution as subtracting x from both sides gives you 0 = -22 which is always false.

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Patricia S. | Math Tutoring for K-12 & CollegeMath Tutoring for K-12 & College
5.0 5.0 (39 lesson ratings) (39)
I want to make sure I understand what each of the three equations are:
EQ1: 6x+5y+2z=830
EQ2: 3x+7y+4z=820
EQ3: x=x-22
Is this correct?  If so, the last equation (EQ3) does not make any sense.  There is no number that is the same as itself less 22.  Double check to make sure you copied the equations correctly, and if you still can't find the error, this would be a question I would bring to your teacher.
Good luck!