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The system of equations 3x + 4y = 2 and 6x + 8y = 4 has

(a) No solution

(b) a unique solution

(c) two distinct solutions

(d) infinitely many solutions.

1 Answer

+1 vote
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Best answer

Correct option is (d) infinitely many solutions

The given system of equations can be written in the matrix form as:

Now, |A| = 24 – 24 = 0

Hence the given system of equations either have infinite solutions or no solution. Now we find (adj A) B.

Cofactors of A are: 

Hence (adj A) B = 0 ⇒ Infinitely many solutions.

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