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Determine if the following two systems have the same solution set:

{ -x + y + 4z }
{ x + 3y + 8z }
{(1/2)x + y + (5/2)z = 0}

and

{ x - z = 0 }
{ y + 3z = 0 }

****Please show detailed work and provide thorough explanation.****

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Solution Summary

Given two equations, it is determine if they have the same solution set

Solution Preview

{ x - z = 0 }
{ y + 3z = 0 }

x-z=0; x=z
y+3z=0 multiply x-z=0 by 3
3x-3z=0

Y+3z=0 add equations
3x+y=0; 3x=-y; -x=-1/3y ...

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