Substituting back into the original equation is a really important skill when you're working on GCSE Mathematics, especially with linear equations. Let me tell you why it’s so important:
Checking Your Work: This is how you see if your answer actually makes sense. After finding a solution, like , putting it back into the original equation helps you check if it fits. If it doesn’t fit, you know you made a mistake somewhere.
Feeling Confident: When you find out that your answer works in the original equation, it makes you feel good about yourself. You can trust the methods you used and feel more sure of yourself when it’s time for the exam.
Finding Mistakes: If you got something wrong while calculating, putting it back can help you find that error. This step can save you points because you can fix your mistakes quickly.
In short, substituting back is like having a safety net for solving problems.
Substituting back into the original equation is a really important skill when you're working on GCSE Mathematics, especially with linear equations. Let me tell you why it’s so important:
Checking Your Work: This is how you see if your answer actually makes sense. After finding a solution, like , putting it back into the original equation helps you check if it fits. If it doesn’t fit, you know you made a mistake somewhere.
Feeling Confident: When you find out that your answer works in the original equation, it makes you feel good about yourself. You can trust the methods you used and feel more sure of yourself when it’s time for the exam.
Finding Mistakes: If you got something wrong while calculating, putting it back can help you find that error. This step can save you points because you can fix your mistakes quickly.
In short, substituting back is like having a safety net for solving problems.