History of Hindu Mathematics: A Source Book v2.c17.s17.t3.51

v2.c17.s17.t3.51

x &= 1/2v'y + u', \\ z &= 5/2u'y + v'; \end{align*} where 5u'² + 16 = v'². One solution of this equation is u' = 2, v' = 6. The corresponding solution of the given equation is \begin{align*} x &= 3y + 2, \\ z &= 5y + 6. \end{align*}