Question

Solve the equation:

34=2m-8

(Show your work)

Answer 1

`\boxed{\displaystyle\huge \bf \: m = 21}`

Step by step explanation:

Given equation is :-

`\sf \implies34=2m-8`

We have asked to find the value of m in the above equation.

Firstly, We need to overturn the equation.

That is:-

`\sf \implies \: 2m - 8 = 34`

Then,Add 8 to both sides :-

`\sf \implies2m - 8 + 8 = 34 + 8`

On Simplification:-

As we know (-) and (+) equals to (-), then -8+8 will be represented as 8-8.Result will be 0.

`\sf \sf \implies2m - 0 = 34 + 8`

On adding 34+8,

`\sf \implies \: 2m = 48`

Divide both sides by 2:-

`\sf \implies (2m)/(2) = (42)/(2)`

On Simplification:-

Cancel 2/2, leave m,then cancel 42/2, which can be divided by 2.

`\sf \longmapsto ( \cancel2m)/( \cancel2) = \cancel(42)/(2)`

`\sf \implies1m = 2`

`\sf \implies \: m = 21`

______________________________________

Please let me know if you have any questions.

Answer 2

m=21

Explanation:

34=2m-8

34+8=2m

42=2m

42 / 2=21

m=21