Question 3
Linear and Simultaneous EquationsSolve the simultaneous equations; x − y = −5 and x2 − y2 = 35
- A.x = 1, y = −5
- B.x = −3, y = 2
- C.x = −7, y = −2
- D.x = −6, y = −1
Show the answer and explanation
Answer: D (x = −6, y = −1)
Explanation
x² − y² = (x − y)(x + y) = −5(x + y) = 35, so x + y = −7. With x − y = −5: x = −6, y = −1.