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Indicate which property is illustrated in Step 6.

Step 1 2 - 8x - 2 + 9x = (2 - 8x) + (-2 + 9x)
Step 2 = (2 - 8x) + (9x - 2)
Step 3 = 2 + (-8x + 9x) - 2
Step 4 = 2 + (-8 + 9)x - 2
Step 5 = 2 + x - 2
Step 6 = x + 2 - 2
Step 7 = x + 0
Step 8 = x
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Respuesta :

The property used in step 6 is the additive inverse.

What are algebra properties?

Algebra properties are mathematical properties used to simplify algebraic expressions

In step 6, we have the following expression:

[tex]x + 2 - 2[/tex]

The additive property of algebra states that:

[tex]a + (-a) = 0[/tex]

i.e. when a number or an expression is added to its inverse, the result is 0.

In [tex]x + 2 - 2[/tex], we have:

2 and -2

2 and -2 are inverses or opposites.

So, when they are added; the result is 0

Hence, the property used in step 6 is the additive inverse.

Read more about algebra properties at:

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