we have to find all the solutions of the system of equations:
the given system of equations is:
from the equation (1), we get
now substitute the value of x in the equation (2) and (3),
therefore from equation (4) and (5), we can notice that the given system of equations has infinitely many solutions.
therefore, from (4), we get
now substitute the value of y and z in x.
therefore, the values of x, y and z are -k, k and k respectively.
therefore all solutions of the given system of equations is x=-k, y=k and z=k