Question

PLEASE HELP MY TEACHER DIDN'T PUT THIS ON THE STUDY GUIDE

Given: 12(10m−14)+9=12
Prove: m = 2

Drag and drop the reasons into the boxes to correctly complete the proof.

Answer 1

We are given

`(1)/(2) (10m-14)+9=12`

step-1:

we can distribute 1/2

`(1)/(2)* 10m-(1)/(2)* 14+9=12`

`5m-7+9=12`

so, we use "Distributive property"

step-2:

We can simplify it

`5m+2=12`

so, we use "Simplification"

step-3:

we can subtract both sides by 2

`5m+2-2=12-2`

`5m=10`

so, we use "Subtraction property of equality"

step-4:

Divide both sides by 5

`(5m)/(5) =(10)/(5)`

`m =2`

so, we use "Division property of equality"