Make q the subject of the formula in the equation mn/a² - pq/b² = 1

Correct Answer is : q=b2(mn−a2)a2pq = b²(mn - a²)/a² pq=a2pb2(mn−a2)

Correct Answer is : q=b2(mn−a2)a2pq = b²(mn - a²)/a² pq=a2pb2(mn−a2)

Test Index

JAMB Mathematics 2019 Paper

Question : 1

Total: 73

\frac{mn}{a^2} - \frac{pq}{b^2} = 1

Solution:

Concept:

Rearrange the given equation to isolate

q

Explanation:

Start with the equation:

\frac{mn}{a^2} - \frac{pq}{b^2} = 1

Move the term containing

pq

to one side:

\frac{mn}{a^2} - 1 = \frac{pq}{b^2}

Express the left-hand side as a single fraction:

\frac{mn - a^2}{a^2} = \frac{pq}{b^2}

Multiply both sides by

b^2

to eliminate the denominator on the right:

pq = \frac{b^2(mn - a^2)}{a^2}

Divide both sides by

p

to make

q

the subject:

q = \frac{b^2(mn - a^2)}{a^2 p}

Thus, the correct expression for

q

is obtained.

Answer:

q = \frac{b^2(mn - a^2)}{a^2 p}

This matches option A.

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