Question

What is the value of `m` in the equation `1/2(m) -3/4(n) = 16`, when `n=8`?

Answer 1

`m=44`

Explanation:

`"substitute "n=8" into the equation"`

`1/2m-3/cancel(4)^1xxcancel(8)^2=16`

`rArr1/2m-6=16`

`"add 6 to both sides"`

`1/2mcancel(-6)cancel(+6)=16+6`

`rArr1/2m=22`

`"multiply both sides by 2"`

`cancel(2)xx1/cancel(2)m=2xx22`

`rArrm=44`