Subjecting a pronumeral

• Nov 24th 2008, 02:14 AM
ajay
Subjecting a pronumeral
Hey guys, don't fully understand how to change the subject of a pro numeral in a equation so I turned for you to help me.

\$\displaystyle V = Mv/(M-m)\$

Make "m" the subject.

(Anywhere I can learn math tags?)
• Nov 24th 2008, 04:50 AM
earboth
Quote:

Originally Posted by ajay
Hey guys, don't fully understand how to change the subject of a pro numeral in a equation so I turned for you to help me.

\$\displaystyle V = Mv/(M-m)\$

Make "m" the subject.

(Anywhere I can learn math tags?)

To learn how to use the LaTeX code see here: http://www.mathhelpforum.com/math-he...-tutorial.html

\$\displaystyle V = Mv/(M-m)\$ multiply by (M - m) to get rid of the denominator:

\$\displaystyle V(M-m)=Mv\$ divide by V

\$\displaystyle M - m=\dfrac{Mv}{V}\$ subtract M

\$\displaystyle -m = \dfrac{Mv}{V} - M\$ multiply both sides by (-1) to change the sign of m:

\$\displaystyle m = M-\dfrac{Mv}{V}\$

\$\displaystyle m = \dfrac{MV - Mv}{V} ~\implies~\boxed{m = \dfrac{M(V - v)}{V}}\$