SOLUTION: Determine the solutions for the following systems of equations. Put your answers in ordered triple or quadruple form. 3x -4y + 6z = -7 -2x + y - 5z = -5 x + -y + z = -4 I s

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Question 1008713: Determine the solutions for the following systems of equations. Put your answers in ordered triple or quadruple form.
3x -4y + 6z = -7
-2x + y - 5z = -5
x + -y + z = -4
I solved the first one but I got huge answers and ugly fractions so I really need to know where I went wrong! I got (-59/29,-32/29,-218/29). These cannot be right!! Please help, thank you!

The second one is
x + y - z + 2w = 5
-3x + 7y -5z +4w = 13
2x -3y +2z -w = -4
x -4y +3z -3w =-9
I didn't attempt this one because I got such a strange answer for the first one I didn't want to do the whole thing only to find I did it all wrong.
Thanks again, any help is appreciated.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
No, you have a mistake somewhere.
Use Cramer's rule,


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Do the 4x4 matrix the same way.
Repost if you get stuck.

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