Question

Which equations would you use the subtraction property of equality to solve? Select the three that apply.



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(3 points)
Responses

x−3=17
x minus 3 is equal to 17

9+y=11
9 plus y is equal to 11

b−13=26
b minus 13 is equal to 26

5y=20
5 y is equal to 20

56=x+7
56 is equal to x plus 7

h+4=12

Answer 1

The subtraction property of equality states that if you have an equation of the form \( a + b = c \), then you can subtract \( b \) from both sides to isolate \( a \), leading to \( a = c - b \). Likewise, for equations in the form \( a - b = c \), you can add \( b \) to both sides to isolate \( a \).

The following equations can be solved using the subtraction property of equality:

1. **x−3=17**: You can add 3 to both sides.
2. **b−13=26**: You can add 13 to both sides.
3. **h+4=12**: You can subtract 4 from both sides.

So the three equations that apply to solving using the subtraction property of equality are:

1. **x−3=17**
2. **b−13=26**
3. **h+4=12**

The other options:
- **9+y=11**: You would subtract 9 from both sides, but it's more straightforward to use addition.
- **5y=20**: This is a multiplication equation, and you would use division to solve it.
- **56=x+7**: You would subtract 7 from both sides.

Thus, the selected equations are correct.