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

Question

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

Answer 1

Answer:
`m=44`

Explanation:

You have the following equation:

`(1)/(2)m - (3)/(4)n= 16`

In order to know the value of "m" when the value of "n" is 8 (
`n=8`), you have to substitute this value into the equation and solve for "m".

Therefore, you get:

`(1)/(2)m - (3)/(4)n= 16\\\\(1)/(2)m - (3)/(4)(8)= 16\\\\(1)/(2)m - (24)/(4)= 16\\\\(1)/(2)m - 6= 16\\\\(1)/(2)m = 16+6\\\\(1)/(2)m =22\\\\m=(2)(22)\\\\m=44`

Answer 2

The value of m is 44

Explanation:

We have given:

1/2 m - 3/4 n = 16

Put the value of n in the given equation

1/2m - 3/4(8)=16

Now 4 and 8 will be canceled out by the table of 4

1/2 m - 3(2)=16

1/2m - 6 = 16

Now take the L.C.M of the denominator and solve for numerator:

m-2(6)/2 = 16

m-12/2 = 16

m-12 = 16*2

m-12 = 32

Add 12 at both sides:

m-12+12 = 32+12

m= 32+12

m=44

The value of m is 44....