Answer: Third option.
Step-by-step explanation:
You need to remember the following properties:
1. The Multiplication property of equality states that:
If [tex]a=b[/tex], then [tex]a*c=b*c[/tex]
2. The Subtraction property of equality states that:
If [tex]a=b[/tex], then [tex]a-c=b-c[/tex]
Then, given the following equation provided in the exercise:
[tex]\frac{3x}{5}+5=20[/tex]
You can observe that, in the first step, 5 is subtracted from both sides of the equation.
Then, the property applied in the first step was the Subtraction property of equality:
[tex]\frac{3x}{5}-5+5=20-5\\\\\frac{3x}{5}=15[/tex]
In the second step, both sides of the equation are multiplied by [tex]\frac{5}{3}[/tex], which is the reciprocal of [tex]\frac{3}{5}[/tex].
Therefore, the property applied in the second step was the Multiplication property of equality):
[tex](\frac{3x}{5})(\frac{5}{3})=(15)(\frac{5}{3)}\\\\x=25[/tex]
