The discussion centers around the solvability of a system of equations involving two variables, ##x## and ##y##, and their relationship to parameters ##A## and ##B##. Participants explore the implications of having either the variables or the parameters as unknowns, considering the conditions under which solutions may be determined or undetermined.
Participants express differing views on the nature of the system of equations, with some suggesting it can be undetermined while others argue that ##A## and ##B## are uniquely defined. The discussion remains unresolved regarding the conditions that lead to determined versus undetermined systems.
The discussion highlights the dependence on the definitions of known and unknown parameters, as well as the implications of different assumptions about the variables involved.
kent davidge said:Does it make sense to have ##x## and ##y## be known and instead ##A## and ##B## unknown?
Sorry for not clarifying, I was regarding them as unkowns. Otherwise the solution would be obvious as @BvU pointed out.Stephen Tashi said:What would ##a_1, a_2,b_1,b_2## be? Known or unknown?