Make c the subject of the formula f= d - c over c -e

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02-04-2016
Mathematics

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Make c the subject of the formula f= d - c over c -e

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lukyo lukyo · Answer 1 · 2016-04-03T04:43:55+02:00

lukyo lukyo

03-04-2016

[tex]f=\dfrac{d-c}{c-e}[/tex]

Multiply both sides by [tex](c-e):[/tex]

[tex]f\cdot (c-e)=d-c\\ \\ fc-fe=d-c\\ \\ fc+c=d+fe\\ \\ (f+1)\cdot c=d+fe\\ \\ \boxed{\begin{array}{l} c=\dfrac{d+fe}{f+1} \end{array}}[/tex]

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