Solve the simultaneous equations for x in x2 + y - 8 = 0, y + 5x - 2 = 0
A
-28, 7
B
6, -28
C
6, -1
D
-1, 7
E
3, 2
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
x2 + y - 8 = 0, y + 5x - 2 = 0
Rearranging, x2 + y = 8.....(i)
5x + y = 2.......(ii)
Subtract eqn(ii) from eqn(i)
x2 - 5x - 6 = 0
(x - 6)(x + 1) = 0
x = 6, -1
Source: Myschool Past Questions Archive (Record #32462)