Make x the subject of the formula: y = 3x - 9c/4x + 5d

Correct Answer is : x = −(9c+5dy)4y−3-(9c + 5dy)/4y - 34y−3−(9c+5dy)

Correct Answer is : x = −(9c+5dy)4y−3-(9c + 5dy)/4y - 34y−3−(9c+5dy)

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JAMB Mathematics 2023 Paper

Question : 8

Total: 80

\frac{3x - 9c}{4x + 5d}

Solution:

Concept:

Rearrange the given equation to collect all terms containing

x

on one side.

Explanation:

Start with

y = \frac{3x - 9c}{4x + 5d}

Cross multiply to remove the fraction.

y(4x + 5d) = 3x - 9c

Expand the left side.

4xy + 5dy = 3x - 9c

Group the

x

terms together.

4xy - 3x = -9c - 5dy

Factor out

x

x(4y - 3) = -9c - 5dy

Divide through by

(4y - 3)

x = \frac{-9c - 5dy}{4y - 3}

Factor the negative sign from the numerator.

x = \frac{-(9c + 5dy)}{4y - 3}

Answer:

x = \frac{-(9c + 5dy)}{4y - 3}

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