Question 6
Linear and Simultaneous EquationsSolve the equations: P2 + q2 = 29, P + q = 7
- A.(5,3) and (3,5)
- B.(5,2) and (5,3)
- C.(2,5) and (5,2)
- D.(2,3) and (3,5)
Show the answer and explanation
Answer: C ((2,5) and (5,2))
Explanation
Substitute p = 7 − q: (7 − q)² + q² = 29 gives q² − 7q + 10 = 0, so q = 2 or 5. The solutions are (5, 2) and (2, 5).