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.

PLEASE HELP MY TEACHER DIDNT PUT THIS ON THE STUDY GUIDE Given 1210m14912 Prove m 2 Drag and drop the reasons into the boxes to correctly complete the proof class=

Respuesta :

We are given

[tex]\frac{1}{2} (10m-14)+9=12[/tex]

step-1:

we can distribute 1/2

[tex]\frac{1}{2}\times 10m-\frac{1}{2}\times 14+9=12[/tex]

[tex]5m-7+9=12[/tex]

so, we use "Distributive property"

step-2:

We can simplify it

[tex]5m+2=12[/tex]

so, we use "Simplification"

step-3:

we can subtract both sides by 2

[tex]5m+2-2=12-2[/tex]

[tex]5m=10[/tex]

so, we use "Subtraction property of equality"

step-4:

Divide both sides by 5

[tex]\frac{5m}{5} =\frac{10}{5}[/tex]

[tex]m =2[/tex]

so, we use "Division property of equality"