In: Advanced Math
Consider the system of equations
2x-5y=a
3x+4y=b
2x- 4y=c
where a, b, c are constants. Because there are 3 equations and 3 unknowns, there are no possible values of a, b and c for which the system of equations has a unique solution. True or false?
Finally, you can say that if we take some triple {e.g. (a, b, c) = (2, 3, 2) } then the system of equation has unique solution {e.g. for a=2, b=3, c=2 then x=1 and y=0}.