Question

Branilest and 30 point please answer

Consider the system of equations.

5x+4y=−22x−4y=6
Which property could be used to write the equation 7x = 4 as the first step to solving the system of equations?


Distributive Property of Equality

Addition Property of Equality

Substitution Property of Equality

Division Property of Equality

Answer 1

Addition Property of Equality

Explanation:

System of Equations

When two equations are given and two variables are unknown in both equations, then we can solve the system in several ways.

One method consists in adding both equations term by term and eliminate one of the variables. That property is called the addition of equalities. Let's consider the equations given in the problem:

`5x+4y=-2\\2x-4y=6`

If we add both equations, we have

`5x+4y+2x-4y=-2+6`

Simplifying

`7x=4`

By adding both equations we managed to eliminate the variable y and could easily find the value of x

`x=4/7`

Answer: Addition Property of Equality