1. The problem statement, all variables and given/known data 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. 2. Relevant equations (1) 6x + ky = 0 (2) 4x + 6y = 0 3. 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.