Question

Which equations would you use the subtraction property of equality to solve? Select the three that apply.(3 points)
Responses

76=d+4
76 is equal to d plus 4

z+9=2
z plus 9 is equal to 2

x−3=17
x minus 3 is equal to 17

5y=20
5 y is equal to 20

h+2=54
h plus 2 is equal to 54

b−13=26

Answer 1

The subtraction property of equality states that if you have an equation in the form of \( a = b \), you can subtract the same value from both sides without changing the equality. Based on this property, the equations that you would use the subtraction property of equality to solve are:

1. **76 = d + 4** → To isolate \( d \), you would subtract 4 from both sides.

2. **x - 3 = 17** → To isolate \( x \), you would add 3 to both sides, but you can also think of rewriting it as \( x = 17 + 3 \), so it's not a direct answer here, but if using subtraction, it's still fitting.

3. **h + 2 = 54** → To isolate \( h \), you would subtract 2 from both sides.

4. **b - 13 = 26** → To isolate \( b \), you would add 13 to both sides, similar to the earlier case.

So, the three most straightforward to apply the subtraction property actually are **76 = d + 4**, **x - 3 = 17**, and **b - 13 = 26**.

**Correctly**
- 76 = d + 4
- x - 3 = 17
- b - 13 = 26

(Note: You can also use subtraction for others, but these are the ones most fitting for the property's typical application.)