System of Equations
Source:
June 8, 2009
algebrasystem of equations
Problem Statement
Given the system of equations
ax \plus{} (a \minus{} 1)y \equal{} 1 \\
(a \plus{} 1)x \minus{} ay \equal{} 1.
For which one of the following values of is there no solution and ?
(A)\ 1\qquad (B)\ 0\qquad (C)\ \minus{} 1\qquad (D)\ \frac {\pm \sqrt {2}}{2}\qquad (E)\ \pm\sqrt {2}