Solve the following simultaneous equation for x. x2 + y - 5 = 0, y - 7x + 3 = 0

Solve the following simultaneous equation for x. x2 + y - 5 = 0, y - 7x + 3 = 0

Answer Details

x2 + y - 5 = 0.....(i)
y - 7x + 3 = 0.........(ii)
y = 7x - 3, substituting the value of y in equation (i)
x2 + (7x - 3) - 5 = 0
x2 + 7x + 3 = 0
(x + 8)(x - 1) = 0
x = -8 or 1