Question 13
Linear and Simultaneous EquationsGiven that y = px + q and y = 5 when x = 3, while y = 4 when x = 2, find the values of p and q.
- A.p = 1, q = 3
- B.p = 1, q = 2
- C.p = −2, q = 3
- D.p = 3, q = −2
Show the answer and explanation
Answer: B (p = 1, q = 2)
Explanation
3p + q = 5 and 2p + q = 4. Subtracting gives p = 1, then q = 2.