History of Hindu Mathematics: A Source Book v2.c17.s6.30

v2.c17.s6.30

*First Method.*³ Assume $x = 2z - 100, y = z + 100,$ so that equation (1) is identically satisfied. Substituting these values in the other equation, we get $z + 110 = 12z - 660;$ whence z = 70. Therefore, x = 40, y = 170.