I have tried and tried to solve this set of 3 linear equations. The problem is that instead of there being 3 equations and 3 unknowns, there are 3 equations with 4 unknowns. I have tried row reduction and keep getting into a mess with squares of the 4th unknown etc. any help would be greatly appreciated.
Q. Solve completely the following set of linear equations.
x + 2y + az = 0
2x + 3y - 2z = a
ax + y + z =3