Question

Question 5

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



(1 point)
Responses

Addition Property of Equality
Addition Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality

Division Property of Equality
Division Property of Equality

Subtraction Property of Equality
Subtraction Property of Equality
Skip to navigation

Answer 1

To determine the property of equality displayed in step 3 of solving the equation \(9m + 4 - 7m = 5m + 73\), we should first identify the steps typically taken to solve such an equation.

1. Combine like terms on the left side:
\[
(9m - 7m) + 4 = 5m + 73 \implies 2m + 4 = 5m + 73
\]

2. Next, isolate the variable \(m\). One common step would be to subtract \(5m\) from both sides:
\[
2m - 5m + 4 = 73 \implies -3m + 4 = 73
\]

3. Then, you would subtract \(4\) from both sides:
\[
-3m + 4 - 4 = 73 - 4 \implies -3m = 69
\]

In step 3, you would be subtracting \(4\) from both sides. The property being used here is the **Subtraction Property of Equality**, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.

Therefore, the answer is:
**Subtraction Property of Equality**.