Let’s Solve the Equation: Understanding How to Find y in 3y - 9 = 0

Understanding the Problem: What’s the Equation Asking?

Alright, let’s get right into it! We’re faced with the equation 3y - 9 = 0. You might find yourself asking, “What does this even mean?” Simply put, our aim is to figure out what value of y makes this equation true. It’s almost like a puzzle – the pieces are all there, but we need to rearrange them to see the full picture.

Step 1 – Get Cozy with the Equation

When looking at 3y - 9 = 0, the goal is to isolate y. Think of it like a game of hide and seek; we want to find y and bring it out into the spotlight!

Step 2 – Add 9 to Both Sides

So, how do we start? Let’s add 9 to both sides of the equation. Here’s the fancy math way of showing it:

3y - 9 + 9 = 0 + 9

What happens here? The -9 and +9 cancel each other out, leading us to:

3y = 9

By performing this step, we’ve made our job a bit easier. We’re closer to finding the value of y! You see, it’s about simplifying things along the way.

Step 3 – Divide by 3

Now, we need to solve for y. To do that, it’s time to divide both sides by 3. Like this:

3y / 3 = 9 / 3

And voilà, we find:

y = 3

Confirmation Time: Does This Work?

It’s always good practice to check our work. After all, nobody wants to go through all that effort only to find out we made a mistake! Let’s substitute our value of y back into the original equation to ensure it holds true:

3(3) - 9 = 9 - 9 = 0

Boom! It checks out! This means that our value of y = 3 is indeed the correct answer.

Wrap Up: The Importance of Isolating Variables

So, what’ve we learned today? Isolating the variable is crucial in solving equations like these. It’s a foundational skill in GED math that not only helps with basic equations but serves as a stepping stone to more complex problem-solving in the future.

Just like building a house, you need strong foundations to ensure your structure – or your understanding of math – is solid.

Remember, This is Just the Beginning!

As you embark on your journey to study for the GED, don’t shy away from these little math puzzles! Each equation you solve is another step towards mastering the subject. And hey, if you find yourself stuck, reach out to friends, teachers, or even online resources to guide you. You’re not in this alone.

Math can be challenging, but it’s also incredibly rewarding. When you keep practicing, when you keep at it, you’ll soon find that what once seemed daunting becomes a piece of cake. So grab that pencil, and let’s get cracking on more math problems together!