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Which method correctly solves the equation using the multiplication property of equivalence and reciprocal of 1/3?

a) Multiplying by 3/1
b) Multiplying by 1/3
c) Dividing by 3/1
d) Dividing by 1/3

1 Answer

2 votes

Final answer:

The correct method is to multiply by 1/3.

Step-by-step explanation:

The correct method to solve the equation using the multiplication property of equivalence and the reciprocal of 1/3 is b) Multiplying by 1/3.

When we multiply both sides of an equation by a fraction or its reciprocal, it is important to remember that the operation applies to every term on either side of the equation. By multiplying both sides by 1/3, we are using the multiplication property of equivalence to maintain equality.

For example, if we have the equation 2x = 6, multiplying both sides by 1/3 gives us (1/3)(2x) = (1/3)(6), which simplifies to (2/3)x = 2.

User Fahad Saleem
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