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

the equations.

3x + 4y = 38

5x - 4y = - 30

8x = 8

This step works because of the

Answer: Addition Property of Equality

see explanation

Step-by-step explanation:

Given the 2 equations

3x + 4y = 38 → (1)

5x - 4y = - 30 → (2)

Since the coefficients of the y - term are opposites then adding the 2 equations will eliminate the term in y, that is

Add (1) and (2) term by term

(3x + 5x) + (4y - 4y) = (38 - 30), simplifying

8x = 8 (divide both sides by 8)

x = 1