The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the system, if a solution exists.  x + y + z = 03x − y − z = 0−x + 3y + 3z = 0We have found that the system has infinitely many solutions, and that (x, y, z) is a solution if and only if x = 0 and y = −z, where z may be any real number.Write the general form of the solutions as an ordered triple. Express your answer in terms of z.

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Asked Oct 11, 2019
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The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the system, if a solution exists.

 
 
x  +  y  +  z  =  0
3x  −  y  −  z  =  0
−x  +  3y  +  3z  =  0

We have found that the system has infinitely many solutions, and that (xyz) is a solution if and only if 

x = 0

 and 

y = −z,

 where z may be any real number.

Write the general form of the solutions as an ordered triple. Express your answer in terms of z.

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Expert Answer

Step 1

Given a system of ...

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х+у+Z3D0 Зх — у—z%3D0 -х+ 3у + 3z —0

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