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 = \(\frac {-(9c + 5dy)}{4y - 3}\)
Correct Answer: D. x = \(\frac {-(9c + 5dy)}{4y - 3}\)
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 = \(\frac {-(9c + 5dy)}{4y - 3}\)
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