If the system of linear equations
2x + 2y + 3z = a
3x -- y + 5z = b
x -- 3y + 2z = c
where a, b, c are non zero real numbers, has more one solution, then :
Solutions · 1
Official solution
P1 : 2x + 2y + 3z = a
P2 : 3x - y + 5z = b
P3 : x - 3y + 2z = c
We find
P1 + P3 = P2 \[ \Rightarrow \] a + c = b