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Make x the subject of the formula: y = \(\frac {3x - 9c}{4x + 5d}\)

Mathematics
JAMB 2023

Make x the subject of the formula: y = \(\frac {3x - 9c}{4x + 5d}\)

  • A. x = \(\frac {-(9c - 5dy)}{4y - 3}\)
  • B. x = \(\frac {9c + 5dy}{4y - 3}\)
  • C. x = \(\frac {9c - 5dy}{4y - 3}\)
  • D. x = \(\frac {-(9c + 5dy)}{4y - 3}\)
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Correct Answer: Option D
Explanation

y = \(\frac {3x - 9c}{4x + 5d}\)

\(\frac {y}{1} = \frac {3x - 9c}{4x + 5d}\)

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

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

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

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

= x = \(\frac {-9c - 5dy}{4y - 3}\)

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

There is an explanation video available below.


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Explanation Video

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