Question

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

Answer 1

Substitute then solve 1/2m -3/4(8)=16 1/2m-6=16 1/2m= 16+6 1/2m= 22 M= 22×2 M=44

Answer 2

m=44

Explanation:

The given equation is

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

We need to find the value of m when n=8.

Substitute n=8 in the given equation.

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

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

`(1)/(2)m-6=16`

Add 6 on both sides.

`(1)/(2)m-6+6=16+6`

`(1)/(2)m=22`

Multiply both sides by 2.

`(1)/(2)m* 2=22* 2`

`m=44`

Therefore, the value of m is 44.