Question

For the following system to be consistent, -7x+3y5z=-723x+21y+kz = - we must have, k≠___

Answer 1

To make the given system of equations consistent, the value of k must be -3.

Step-by-step explanation:

To determine the value of k that would make the given system of equations consistent, we need to consider when the coefficients of the variables are all equal. In this case, the coefficients of x, y, and z in both equations are -3, 21, and k, respectively.

For the system to be consistent, -3 should be equal to 21 and k, and this can only happen when k is equal to -3. Therefore, k = -3 is the value that we must have for the system to be consistent.