WAEC 2023 Mathematics · Question 33
If 2x - 3y = -11 and 3x + 2y = 3, evaluate
Options
- A.16
- B.25
- C.9
- D.4
Answer: A. 16
Explanation written with AI and checked against the answer key
Step 1: Analyze the question We have two simultaneous equations and need to find (y − x)², so we first solve for x and y. Step 2: Solve the equations (elimination method) Equation 1: 2x − 3y = −11 Equation 2: 3x + 2y = 3 Multiply Equation 1 by 2: 4x − 6y = −22 Multiply Equation 2 by 3: 9x + 6y = 9 Add them: 13x = −13, so x = −1 Substitute into Equation 2: 3(−1) + 2y = 3 −3 + 2y = 3 2y = 6, so y = 3 Check in Equation 1: 2(−1) − 3(3) = −2 − 9 = −11 ✓ Step 3: Evaluate (y − x)² y − x = 3 − (−1) = 4 (y − x)² = 4² = 16 Step 4: Identify the answer The answer is 16, which is option A. Tip: Watch the signs when subtracting a negative: 3 − (−1) = 3 + 1 = 4. Many students wrongly get 2 and pick D. Always check your x and y values in both original equations before finishing.AI can make mistakes. Report anything that looks wrong.
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