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Question 52
Find the solution or solutions, if any exist, to the system.- {x−y+3z=−8x+5y+z=405x+y+13z=10\left\{ \begin{array} { c } x - y + 3 z = - 8 \\ x + 5 y + z = 40 \\ 5 x + y + 13 z = 10 \end{array} \right.⎩⎨⎧x−y+3z=−8x+5y+z=405x+y+13z=10
A) x = 0 , y = 1 , z = - 3B) infinitely many solutions of the form x=4+z,y=−18−2z,z=zx = 4 + z , y = - 18 - 2 z , z = zx=4+z,y=−18−2z,z=z C) x=0,y=−1,z=−3x = 0 , y = - 1 , z = - 3x=0,y=−1,z=−3 D) inconsistent system, no solution
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