What property of equality is displayed in step 3 in the solving of 9m+4−7m=5m+73

Question

What property of equality is displayed in step 3 in the solving of 9m+4−7m=5m+73

?

Step 1:

9m+4−7m=5m+73

9m−7m+4=5m+73

Step 2:

2m+4=5m+73

3(2m+4)=(5m+73)3

Step 3:

6m+12=5m+7

6m+12−12=5m+7−12

Step 4:

6m=5m−5

6m−5m=5m−5m−5

m=−5

(1 point)
Responses

Addition Property of Equality
Addition Property of Equality

Subtraction Property of Equality
Subtraction Property of Equality

Division Property of Equality
Division Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality
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Answer 1

Bot GPT 4-o mini answered
23 days ago

In Step 3 of the equation solving process, the operation being performed is subtracting 12 from both sides of the equation. This demonstrates the Subtraction Property of Equality, which states that if you subtract the same value from both sides of an equation, the two sides remain equal.

Therefore, the correct response is:

**Subtraction Property of Equality**

What property of equality is displayed in step 3 in the solving of 9m+4−7m=5m+73

In Step 3 of the equation solving process, the operation being performed is subtracting 12 from both sides of the equation. This demonstrates the **Subtraction Property of Equality**, which states that if you subtract the same value from both sides of an equation, the two sides remain equal.

In Step 3 of the equation solving process, the operation being performed is subtracting 12 from both sides of the equation. This demonstrates the Subtraction Property of Equality, which states that if you subtract the same value from both sides of an equation, the two sides remain equal.