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Debora [2.8K]
3 years ago
14

5) Consider the sequence of steps to solve the equation: 2(x − 4) + 5x = 9x − 10 Given ⇒ 2(x − 4) + 6x = 9x − 10 Step 1 ⇒ 2x − 8

+ 6x = 9x − 10 Step 2 ⇒ 2x + 6x − 8 = 9x − 10 Step 3 ⇒ 8x − 8 = 9x − 10 Step 4 ⇒ 8x − 8x − 8 = 9x − 8x − 10 Step 5 ⇒ 0 − 8 = x − 10 Step 6 ⇒ −8 = x − 10 Step 7 ⇒ −8 + 10 = x − 10 + 10 Step 8 ⇒ 2 = x + 0 Step 9 ⇒ 2 = x Which step in solving this equation is justified by the Addition Property of Equality?
Mathematics
2 answers:
sasho [114]3 years ago
8 0

Answer: Step 7 is the answer.

vlada-n [284]3 years ago
5 0
<span>The answer to this question is Step 7.
                         Step 7 ⇒ −8 + 10 = x − 10 + 10
This is where 10 is being added to both sides. It is not Step 4 as that uses the Subtraction Property of Equality (which can be proved true by taking the addition of a negative number).
</span>
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ankoles [38]

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Step-by-step explanation:

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