To properly understand which property was applied in the second step, let's analyze the steps in detail:
1. Start with the original equation:
[tex]\[
\frac{3x}{5} + 5 = 20
\][/tex]
2. The first step is:
[tex]\[
\frac{3x}{5} + 5 - 5 = 20 - 5
\][/tex]
Here, we subtracted 5 from both sides of the equation. This is applying the Subtraction Property of Equality, which states that if you subtract the same number from both sides of an equation, the equality remains true.
3. After performing the subtraction, we have:
[tex]\[
\frac{3x}{5} = 15
\][/tex]
4. The second step is:
[tex]\[
\frac{3x}{5} \cdot \frac{5}{3} = 15 \cdot \frac{5}{3}
\][/tex]
Here, we multiplied both sides of the equation by [tex]\(\frac{5}{3}\)[/tex]. This is applying the Multiplication Property of Equality, which states that if you multiply both sides of an equation by the same non-zero number, the equality remains true.
Therefore, the property applied in the second step is the Multiplication Property of Equality.
