To identify which equations can be solved using the subtraction property of equality, let's examine each equation individually. The subtraction property of equality states that you can subtract the same number from both sides of an equation, and the equality will still hold.
1. Equation: [tex]\(5y = 20\)[/tex]
- This equation involves multiplication. To solve for [tex]\(y\)[/tex], you would divide both sides by 5, not subtract.
2. Equation: [tex]\(76 = d + 4\)[/tex]
- Here we have a number added to [tex]\(d\)[/tex]. To solve for [tex]\(d\)[/tex], you subtract 4 from both sides:
[tex]\[
76 - 4 = d + 4 - 4 \implies 72 = d
\][/tex]
- This equation can be solved using the subtraction property of equality.
3. Equation: [tex]\(x - 3 = 17\)[/tex]
- This equation involves a number subtracted from [tex]\(x\)[/tex]. To solve for [tex]\(x\)[/tex], you would add 3 to both sides. Therefore, subtraction property of equality is not directly used here.
4. Equation: [tex]\(b - 13 = 26\)[/tex]
- As with the previous equation, this involves subtraction. To solve for [tex]\(b\)[/tex], you would add 13 to both sides, not subtract.
5. Equation: [tex]\(h + 2 = 54\)[/tex]
- Here we have a number added to [tex]\(h\)[/tex]. To solve for [tex]\(h\)[/tex], you subtract 2 from both sides:
[tex]\[
h + 2 - 2 = 54 - 2 \implies h = 52
\][/tex]
- This equation can be solved using the subtraction property of equality.
6. Equation: [tex]\(z + 9 = 2\)[/tex]
- Similarly, this equation involves a number added to [tex]\(z\)[/tex]. To solve for [tex]\(z\)[/tex], you subtract 9 from both sides:
[tex]\[
z + 9 - 9 = 2 - 9 \implies z = -7
\][/tex]
- This equation can be solved using the subtraction property of equality.
Summary:
The equations that can be solved using the subtraction property of equality are:
1. [tex]\(76 = d + 4\)[/tex]
2. [tex]\(h + 2 = 54\)[/tex]
3. [tex]\(z + 9 = 2\)[/tex]
