Question

Give that T = 37v/6v-5.4m a. Make V the subject of relation b. If T = 4.5 and M =7x10(7),calculate the value of v , leaving your answer in standard form

Answer 1

`v = (5.4mT)/(6T - 37)`

`v = -1.701*10^8`

Explanation:

Given

`T = (37v)/(6v-5.4m)`

Solving (a): Make v the subject

`T = (37v)/(6v-5.4m)`

Cross Multiply:

`(6v-5.4m)T = 37v`

Open bracket

`6vT - 5.4mT = 37v`

Collect Like terms

`6vT - 37v= 5.4mT`

Factorize:

`(6T - 37)v= 5.4mT`

Make v the subject

`v = (5.4mT)/(6T - 37)`

Solving (b):

`T = 4.5`

`m = 7 * 10^7`

So, the expression becomes:

`v = (5.4mT)/(6T - 37)`

`v = (5.4*7*10^7*4.5)/(6*4.5 - 37)`

`v = (170.1*10^7)/(27 - 37)`

`v = (170.1*10^7)/(-10)`

`v = -17.01*10^7`

`v = -1.701*10*10^7`

`v = -1.701*10^8`