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EDEXCEL GCSE FOUNDATION MATHS - What is Changing the Subject

Date  |  Category Maths
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Changing the Subject of an Equation

Changing the subject of an equation is like solving for a specific variable. It's like rearranging the equation to isolate that variable on one side of the equal sign. Here's a step-by-step guide:

1. Identify the Subject

2. Undo Operations

3. Simplify

Example:

Let's change the subject of the equation y = 2x + 5 to x.

  1. Subject: x
  2. Equation: y = 2x + 5

  3. Step 1: Subtract 5 from both sides: y - 5 = 2x + 5 - 5

  4. Step 2: Simplify: y - 5 = 2x
  5. Step 3: Divide both sides by 2: (y - 5)/2 = 2x/2
  6. Step 4: Simplify: (y - 5)/2 = x

Therefore, we've successfully changed the subject to x, and the new equation is x = (y - 5)/2.

Key Points:

Changing the subject of an equation is a fundamental skill in algebra, and it is essential for solving many mathematical problems. By mastering this technique, you will be able to manipulate equations to solve for any variable you need.