Question

What is the value of m in the equation 38(m−29)=434 ?

Answer 1

`m~~40.42`

Explanation:

Given: `38(m-29)=434`

Divide by `38`.

`(color(red)cancelcolor(black)38(m-29))/(color(red)cancelcolor(black)38)=434/38`

`m-29=11.42` (since `434/38~~11.42`)

Add `29` to both sides.

`m-color(red)cancelcolor(black)29+color(red)cancelcolor(black)29=11.42+29`

`m~~40.42`

Answer 2

`m=768/19`

Explanation:

`38(m -29)=434`

Start by using the distributive property.

`(38)(m)+(38)(-29)= 434`

`38m - 1102=434`

Then add `1102` on both sides

`38m - 1102 + 1102 = 434 + 1102`

`38m= 1536`

Finally, divide both sides by 38 to find `m`

`(cancel38m)/cancel38 = 1536/38`

`m=768/19`