Find the values of for which the simultaneous equations do not have a unique solution for and .
Also show that when the equations are inconsistent
Using a determinant and setting to zero, then solving the quadratic gives
So far so good, but when subbing for
subbing eqn from eqn gives
Subbing for into eqn
Subbing for and into eqn
These values for and seem to prove unique solutions for these equations, yet from the determinant and also the question in the text book should they not be inconsistent?