What do I need to do to solve this question. I would like methods

>>33310

I'll assume you understand the concept of linear systems of equations and how to solve them.
Ignore the fact that k and h are unknown values and try solving as you usually would do any old system of equations. See where that takes you.
Also, think about what conditions are necessary for a system of equations to have a unique solution, no solutions, or infinitely many solutions.

>>33329
>Also, think about what conditions are necessary for a system of equations to have a unique solution, no solutions, or infinitely many solutions.
One way to do this is to compare the rank of the coefficient matrix (2x2-matrix) to the rank of the augmented matrix (2x3-matrix with the right side).

If you can only do Gaussian elimination, be aware that you can't divide by zero. Consider the two cases that a divisor is not zero (then you can continue as usual) and zero (this gives you values of h and k where the Gaussian elimination doesn't work).