If the system of equations has infinitely many solutions, then is equal to :

Question

If the system of equations  has infinitely many solutions, then  is equal to :

Canvas Classes · Accepted Answer

🧠 Two Unknowns, Two Conditions — Get Each from a Different Place

We have two unknowns () and the "infinite solutions" requirement gives us two conditions: (i) the coefficient determinant is zero, (ii) the right-hand side is consistent. Look carefully — the coefficient determinant involves only , because  sits on the RHS, not in the coefficient matrix. That is the key observation.

So compute the coefficient determinant first. It will give  on its own. Then use the consistency condition (any re

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