Solve 3x2 - 5y3 = -2; x2 + y2 = 136
x=9457, y=5119
3x2 - 5y3 = -2
Multiply by 6 on both sides
9x - 10y = -12 -------------(1)
x2 + y2 = 136
Multiply by 6 on both sides
3x + 3y = 13 --------------(2)
(1) ⇒ x= 10y−129............(3)
Substituting equation (3) in equation (2)
3[10y−129] + 3y = 13
10y - 12 + 9y = 39
19y = 51
y = 5119
x = 10[5119]−129 = 28219×9 = 943×19 = 9457