Kelsey solved the following equation:

7x − one over two (8x + 2) = 6

Step Work Justification
1 7x − 4x − 1 = 6
2 3x − 1 = 6
3 3x = 7
4 x = 7 over 3

Which of the following has all of the correct justifications Kelsey used to solve this equation?

1. distributive property

2. combine like terms

3. addition property of equality

4. division property of equality

Given that,

Kelsey solved the following equation:

By distributive property,

a(b + c) = ab + bc

Therefore,

Combine the like terms

7x - 4x - 1 = 6

3x - 1 = 6

Addition property of equality

The property means that when we add the same number to both sides of an equation, the sides remain equal

3x - 1 = 6

Add 1 on both sides

3x - 1 + 1 = 6 + 1

3x = 7

Division property of equality

The Division Property of Equality means that when we divide both sides of an equation by the same non zero number, the sides remain equal

3x = 7

Divide both sides by 3

Thus the correct justifications Kelsey used to solve this equation is:

1. distributive property. 2. combine like terms. 3. addition property of equality. 4. division property of equality

other answer is correct. i had used the radius of the radius somehow. a website: