To begin solving this system of linear equations by elimination, you can add the equations

3x+4y=38
+ 5x-4y=-30

8x=8

The Correct option is C. Addition Property of Equality.

For above Equation by Elimination we use

Addition Property of equality

Step-by-step explanation:

Given:

Addition Property of Equality :

The property that states that if you add the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)

Here equation is given as

     3x   +   4y   =   38

  + 5x   -   4y    =   -30

                 8x    =   8

Here +4y and -4y gets cancelled or becomes 0 hence 8x = 8.

For above Equation by Elimination we use

Addition Property of equality

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2