Let's complete each statement:

a) For the addition property of equality: "If the same number is added to both sides of an equation, the result is an equivalent equation."

b) For the multiplication property of equality: "If both sides of an equation are multiplied by the same non-zero number, the result is an equivalent equation."

Would you like more details on these properties or have any questions?

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Related Questions:

1. How does the subtraction property of equality work in solving equations?
2. Why is it important to use a non-zero number in the multiplication property of equality?
3. Can the division property of equality also yield an equivalent equation, and how?
4. How can these properties be used to isolate variables in an equation?
5. What is an example where both the addition and multiplication properties of equality are applied together?

Tip:

When solving equations, always perform the same operation on both sides to maintain equality.