Solve the simultaneous equations for x in x2 + y – 8 = 0, y…

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
Correct Answer: Option C
Explanation

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

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