Determine all possibilities for the solution set of the system of 2 equations in 3 unknowns that has x1 = 4, x2 = −7, x3 = 0 as a solution.(a) one or finitely many(b) infinite(c) finite(d) zeroI had been asked this question during an internship interview.Question is taken from Counting topic in chapter Counting of Discrete Mathematics

Determine all possibilities for the solution set of the system of 2 eq

1.	Determine all possibilities for the solution set of the system of 2 equations in 3 unknowns that has x1 = 4, x2 = −7, x3 = 0 as a solution.(a) one or finitely many(b) infinite(c) finite(d) zeroI had been asked this question during an internship interview.Question is taken from Counting topic in chapter Counting of Discrete Mathematics
Answer» Correct choice is (B) infinite For explanation I WOULD say: Since m1 = 4, x2 = −7, x3 = 0 is a solution of the system, the system is not inconsistent. Thus the only POSSIBILITY is infinitely many SOLUTIONS.

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