History of Hindu Mathematics: A Source Book v2.c17.s26.9

v2.c17.s26.9

The *rationale* of the above solutions can be easily shown to be as follows : &axy = bx + cy + d, / or &a²xy - abx - acy = ad, / or &(ax - c)(ay - b) = ad + bc. Suppose ax - c = m, a rational number ; then ay - b = (ad + bc)/m.