Respuesta :

Answer:

The Proof with Statements and Reasons are below.

Step-by-step explanation:

To Prove:

[tex]x=\dfrac{1}{2}[/tex]

Given:

[tex]5x-4+13x=5[/tex]

Proof:

Statements                         Reasons

[tex]1.\ 5x-4+13x=5[/tex]        1. Given.

[tex]2.\ 18x-4=5[/tex]        2. Combine Like terms. ( 5x & 13x )

[tex]3.\ 18x=9[/tex]        3. Addition Property of Equality.( add 4 on both side)

[tex]4.\ x=\dfrac{1}{2}[/tex]        4. Division Property of Equality.(divide both side by 18)