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
Solution:
Given that,
Kelsey solved the following equation:
[tex]7x - \frac{1}{2}(8x+2) = 6[/tex]
Step 1:
By distributive property,
a(b + c) = ab + bc
Therefore,
[tex]7x - (\frac{1}{2} \times 8x)+( \frac{-1}{2} \times 2)= 6\\\\7x - 4x - 1 = 6[/tex]
Step 2:
Combine the like terms
7x - 4x - 1 = 6
3x - 1 = 6
Step 3:
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
Step 4:
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
[tex]\frac{3x}{3} = \frac{7}{3}\\\\x = \frac{7}{3}[/tex]
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
