Transposing Formula Calculator

What is Transposing a Formula?

Transposing a formula is like playing musical chairs with math! It's when we move parts of an equation around to solve for a different letter. For example, if we have y = 2x + 3, we can transpose it to solve for x instead.

How to Transpose a Formula

To transpose a formula, we follow these fun steps:

1. Pick the letter you want to solve for
2. Move everything else to the other side of the equals sign
3. Do the opposite of what's happening to your chosen letter
4. Simplify and you're done!

Example: Transposing y = 2x + 3 to solve for x

Let's walk through this step-by-step:

1. Start with: y = 2x + 3
2. Subtract 3 from both sides: y - 3 = 2x
3. Divide both sides by 2: (y - 3) ÷ 2 = x
4. Our final transposed formula is: x = (y - 3) ÷ 2

Visual Representation

Let's see this transposition in action:

This picture shows how we flipped the equation around. The blue box is our starting formula, and the green box is our transposed formula!

Remember, transposing formulas is like solving a puzzle. With practice, you'll become a math detective, able to solve for any letter in the equation!