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2023

Mathematics

67ca00ce0c643c71d77dee1f

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

A.

x = −(9c−5dy)/4y−3

B.

x = 9c + 5dy/4y − 3

C.

x = 9c−5dy/4y−3

D.

 x = −(9c+5dy)/4y−3

Correct Answer:  x = −(9c+5dy)/4y−3

Explanation

y = (3x − 9c)/(4x+5d) y/1 = (3x − 9c)/(4x + 5d) = y(4x + 5d) = 3x - 9c = 4xy + 5dy = 3x - 9c = 4xy - 3x = -9c - 5dy = (4y - 3)x = -9c - 5dy = x = (−9c−5dy)/(4y − 3) x = −(9c+5dy)/(4y − 3)

y = (3x − 9c)/(4x+5d) y/1 = (3x − 9c)/(4x + 5d) = y(4x + 5d) = 3x - 9c = 4xy + 5dy = 3x - 9c = 4xy - 3x = -9c - 5dy = (4y - 3)x = -9c - 5dy = x = (−9c−5dy)/(4y − 3) x = −(9c+5dy)/(4y − 3)
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