How do you solve $T = \frac{3 R}{M - N}$ $T=(3R)/(M-N)$ for R?

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How do you solve $T = \frac{3 R}{M - N}$ $T=(3R)/(M-N)$ for R?

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Answer 1 · 2015-10-01T10:57:54

Remember $\frac{a}{b} = \frac{c}{d} \to a d = b c$ $a/b=c/d->ad=bc$ (cross-product)

Explanation:

$\frac{T}{1} = \frac{3 R}{M - N} \to T \cdot (M - N) = 1 \cdot 3 R \to$ $T/1=(3R)/(M-N)->T*(M-N)=1*3R->$

$3 R = T (M - N) \to R = \frac{1}{3} T (M - N) = \frac{T (M - N)}{3}$ $3R=T(M-N)->R=1/3 T(M-N)=(T(M-N))/3$

Answer 2 · 2015-10-01T11:00:57

$R = \frac{T M - T N}{3}$ $R=(TM-TN)/3$

Explanation:

First of you need to multiply both sides by $M - N$ $M-N$ ;
$T (M - N) = \frac{3 R}{M - N} (M - N) = T M - T N = 3 R$ $T(M-N)=(3R)/(M-N)(M-N)=TM-TN=3R$
Then you need to divide both sides by three;
$\frac{T M - T N}{3} = \frac{3 R}{3} = \frac{T M - T N}{3} = R$ $(TM-TN)/3=(3R)/3=(TM-TN)/3=R$
Hope that helps :)

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How do you solve $T = \frac{3 R}{M - N}$ $T=(3R)/(M-N)$ for R?

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