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emergentecon

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## Homework Statement

Consider the system:

(1) 6x + ky = 0

(2) 4x + 6y = 0

The system will have a unique solution when k is:

(a) equal to 9

(b) any real number

Which statements are true.

## Homework Equations

(1) 6x + ky = 0

(2) 4x + 6y = 0

## The Attempt at a Solution

If m=n (number of equations is equal to number of unknowns) and the matrix is nonsingular (the determinant does not equal zero), then the system has a unique solution in the n variables.

Here, the determinant (ad-bc) equals zero when k = 9.

9 is also a real number.

Therefore, neither (a) or (b) can be true.

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