Let k be a real number. Study the algebraic statement
(k−3)x+k2=0.
a. (i) For which values of k does the statement become a linear equation in one variable? Give reason for your answer.
b. (ii) For which values of k does the statement fail to be a linear equation in one variable? Explain why.
c. (iii) When the statement is a linear equation in one variable, find its solution in terms of k and comment on how the solution depends on the parameter k.