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solve the system of equations below. State your answer in the form (x, y, z). In the area below prove mathematically this answer is correct. All steps need to be shown to earn full credit.

 

 Sep 11, 2020
 #1
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Add first two --> 3x-2z=5 --> 3x=2z+5 --> x=(2z+5)/3

Add second and third --> 3x-y+3z=3 --> 2z+5-y+3z=3 --> 5z-y=-2 --> y=5z+2

Use last eqn. --> (2z+5)/3+5z+2+2z=-4 --> 2/3z+5/3+7z=-6 --> 23/3z=23/3 --> z=1

So y=5*1+2=7, and x=(2*1+5)/3=7/3

 

Ans: (7/3, 7, 1)

 Sep 12, 2020

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