Question

how can you determine which property of equality is needed to isolate a variable and solve a given equation? explain. a. use inverse relationships to \undo\ the operation. b. use the same operation to \undo\ the operation. c. use the distributive property to isolate the variable. d. substitute the known values and simplify.

Explanation:

To isolate a variable in an equation, the core principle is using inverse operations (e.g., subtraction undoes addition, division undoes multiplication) to reverse the operations applied to the variable, which aligns with the properties of equality. The other options either describe a specific method (Distributive Property) or a step after isolation (substitution), not the way to identify the needed equality property for isolation.

Answer:

A. Use inverse relationships to "undo" the operation.