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Determine all possibilities for the number of solutions of the system of 7 equations in 5 unknowns and it has x1 = 0, x2 = −6, and x3 = 4 as a solution.

Determine all possibilities for the number of solutions of the system of 7 equations in 5 unknowns and it has x1 = 0, x2 = −6, and x3 = 4 as a solution. Correct Answer unique or infinitely many

Let i be the number of equations and j be the number of unknowns in the given system. Since i> j, the system has at least one solution x1 = 0, x2 = −6, and x3 = 4 and so it is consistent. Thus, it results in either a unique solution or infinitely many solutions.

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