The equations of the transverse and conjugate axes of a hyperbola are respectively x+2y−3=0, 2x−y+4=0 and their respective lengths are √2 & 2√3. The equation of the hyperbola is
Examine the consistency of the system of equations.
5x − y + 4z = 5
2x + 3y + 5z = 2
5x − 2y + 6z = −1