WAEC 2011 Mathematics · Question 25
Solve for x in the equation; (2x - 1) = (5x - 3)
Options
- A.zero
- B.1
- C.2
- D.3
Answer: D. 3
Explanation written with AI and checked against the answer key
Step 1: Analyze the question We need to find x in a linear equation with fractions. The best approach is to clear the fractions by multiplying through by the LCM of the denominators. Step 2: Concept The denominators are 5 and 4, so the LCM is 20. Multiplying both sides by 20 removes the fractions. Step 3: Solution (3/5)(2x − 1) = (1/4)(5x − 3) Multiply both sides by 20: 20 × (3/5)(2x − 1) = 20 × (1/4)(5x − 3) 12(2x − 1) = 5(5x − 3) Expand both sides: 24x − 12 = 25x − 15 Collect like terms: −12 + 15 = 25x − 24x 3 = x Check: Left side: (3/5)(2·3 − 1) = (3/5)(5) = 3 Right side: (1/4)(5·3 − 3) = (1/4)(12) = 3 Both sides equal 3, so x = 3 is correct. Step 4: Answer The correct option is D (3). Tip: When an equation has fractions, multiply every term by the LCM of the denominators first. Then always substitute your answer back into the original equation to confirm it. This takes 20 seconds and can save you from silly mistakes in the exam hall.AI can make mistakes. Report anything that looks wrong.
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