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What is an inverese in algebra?

Updated: 12/13/2022
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An inverse is another word for opposite. The inverse for adding is subtraction, multiplication is division, etc. If you are solving an equation, and have to get a variable alone, you must eliminate any other numbers with the variable, which means undoing the operation (x, +, -, /); so you perform the inverse.

Example:

x + 3 = 9.

Subtract 3 on both sides to get x alone, because subtraction is the inverse of addition:

x = 6.

Example:

2x + 3 = 9.

You must do the inverse of addition and subtraction before the inverse of multiplication and division. In this case, after subtracting 3 you have:

2x = 6.

x is being multiplied by 2, so the inverse is division, and your answer is x = 3.

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