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Stephanie wanted to solve the equation 16=3x+1. Which inverse operations should she use to find the solution?

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User Dathan
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1 Answer

3 votes

Answer:

Subtraction and Division

Explanation:

Inverse operations help find the solution to equations.

Defining Inverse Operations

Firstly, let's define an operation. An operation in math is a function that can manipulate a value. Inverse operations are operations that are opposite operations that undo each other. For example, addition and subtraction are inverse operations because subtraction undoes addition. Multiplication and division are also inverse operations.

Solving the Equation

The equation 16 = 3x + 1 involves both addition and multiplication. So, to solve this, we can use the inverse operations of subtraction and division. First, subtract 1 from both sides.

  • 15 = 3x

Then, divide both sides by 3.

  • 5 = x

This shows that by using subtraction and division, we can undo the addition and multiplication used in the equation. This allows us to find the value of x.

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User Asahi
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