JAMB 2018 Mathematics · Question 29
If + = 1. Make y the subject of the relation.
Options
- A.
- B.
- C.
- D.
Answer: A.
Explanation written with AI and checked against the answer key
To make the subject of the formula, we need to isolate on one side of the equation. Let’s break it down step-by-step.
1. Analyze the equation
The given equation is:
2. Explain the concept
To isolate , we follow the order of operations in reverse:
- First, move the term not containing to the other side of the equation.
- Second, multiply by the denominator of the term to clear the fraction.
3. Step-by-step solution
Step 1: Subtract from both sides
Step 2: Simplify the right side by finding a common denominator The common denominator is :
Step 3: Solve for by multiplying both sides by
4. Identify the answer
Comparing our result with the given options, it matches option A.
5. Exam Tip
When dealing with algebraic fractions in JAMB, always look for the "common denominator" first. If you have a constant (like ) and a fraction, you can always write the constant as a fraction with the same denominator (e.g., ) to make subtraction much easier and avoid errors with signs.
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