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Find which value of k does the system of equations

x - 3y + z = -2

- x + 5y - z = 0

4x - 14y + kz = -5

have infinitely many solutions? For that particular value of k, solve the system of equations for x, y and z.

A solution with parameters may be entered as e.g.:[t,-9/2-6*t,3/2+3*t].

[k,x,y,z] = 

 

Please Help :) and explain in detail, thank you!

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