Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 given ⇒ 3(x − 4) + 5x = 9x − 36 step 1 ⇒ 3x − 12 + 5x = 9x − 36 step 2 ⇒ 3x + 5x − 12 = 9x − 36 step 3 ⇒ 8x − 12 = 9x − 36 step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 step 5 ⇒ 0 − 12 = x − 36 step 6 ⇒ −12 = x − 36 step 7 ⇒ −12 + 36 = x − 36 + 36 step 8 ⇒ 24 = x + 0 step 9 ⇒ 24 = x which property yields step 6? a) additive inverse property b) additive identity property c) addition property of equality d) commutative property of addition

B) Additive Identity Property.

Step-by-step explanation:

Let us consider the definition of Additive Identity Property:

The additive identity property states that if you add a real number to zero or add zero to a real number, then you get the same real number back. The number zero is known as the identity element, or the additive identity.

In Step 5 we can see that,

In Step 6 we get,

So basically,

We know that is a real number and if a real number is added to 0, we get the real number back, so in step 6 we got -12.

Therefore, additive identity property yields step 6.

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

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