Final answer:
The correct property of equality used to solve the equation x/6 = 5 is the Multiplication Property of Equality, which results in x = 30 when multiplying both sides by 6.
Step-by-step explanation:
The student has asked to identify the correct property of equality for the equation x/6 = 5.
In algebra, equality is maintained when the same operation is performed on both sides of the equals sign.
To solve this equation, we can perform the operation of multiplication by 6 (the reciprocal of 1/6) to both sides, which gives us x = 30. This reflects the Multiplication Property of Equality, which states that if you multiply both sides of an equation by the same nonzero number, the two sides remain equal.