To solve the question, let's examine each step of the given equation and identify where the subtraction property of equality was applied.
Step 1: [tex]\(\frac{x}{2} - 7 = -7\)[/tex]
Step 2: [tex]\(\frac{\pi}{2} - 7 + 7 = -7 + 7\)[/tex]
Step 3: [tex]\(\frac{x}{2} = 0\)[/tex]
Step 4: [tex]\(2 \cdot \frac{\pi}{2} = 2 \cdot 0\)[/tex]
Step 5: [tex]\(x = 0\)[/tex]
Subtraction property of equality states that if you subtract the same number from both sides of an equation, it keeps the equation balanced.
Look closely at Step 2:
[tex]\(\frac{\pi}{2} - 7 + 7 = -7 + 7\)[/tex]
Here, 7 is added to both sides to isolate the term [tex]\(\frac{x}{2}\)[/tex] on one side of the equation. This is the application of the subtraction property of equality because you're essentially adding negative 7 to both sides to isolate the [tex]\( \frac{x}{2} \)[/tex] term.
Therefore, the subtraction property of equality was applied in:
A. Step 2
