Asked by Esther
p/q – pq + q/r = rs
Rearrange the formula so that the subject is P
Rearrange the formula so that the subject is P
Answers
Answered by
Bosnian
p / q – p q + q / r = r s
Subtract q / r to both sides
p / q – p q = r s - q / r
p ( 1 / q - q ) = r² s / r - q / r
p ( 1 / q - q² / q ) = r² s / r - q / r
p ( 1 - q² ) / q = ( r² s - q ) / r
Divide both sides by ( 1 - q² ) / q
p = [ ( r² s - q ) / r ] / [ ( 1 - q² ) / q ]
p = q ( r² s - q ) / [ r ( 1 - q² ) ]
Subtract q / r to both sides
p / q – p q = r s - q / r
p ( 1 / q - q ) = r² s / r - q / r
p ( 1 / q - q² / q ) = r² s / r - q / r
p ( 1 - q² ) / q = ( r² s - q ) / r
Divide both sides by ( 1 - q² ) / q
p = [ ( r² s - q ) / r ] / [ ( 1 - q² ) / q ]
p = q ( r² s - q ) / [ r ( 1 - q² ) ]
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