Question

How to make m the. subject of m/v - t/b = m-t/R by steps

Answer 1

m =
`(Rvt-vbt)/(Rb-vb)`

Explanation:

given

`(m)/(v)` -
`(t)/(b)` =
`(m-t)/(R)`

Express the difference on the left side as a single fraction with common denominator of vb

`(bm-vt)/(vb)` =
`(m-t)/(R)` ( cross- multiply )

R(bm - vt ) = vb(m - t) ← distribute parenthesis on both sides

Rbm - Rvt = vbm - vbt ( subtract vbm from both sides )

Rbm - vbm - Rvt = - vbt ( add Rvt to both sides )

Rbm - vbm = Rvt - vbt ( factor out the common factor m on left side )

m(Rb - vb) = Rvt - vbt ( divide both sides by (Rb - vb) )

m =
`(Rvt-vbt)/(Rb-vb)`