Finding the Value of z in Algebraic Equations

Let's Solve for z Together!

Hey there! Are you grappling with equations and trying to figure out your next steps in mastering algebra for the GED? Well, you're in the right place! Today, we're going to solve the equation 5z - 15 = 10—and trust me, it’s easier than it sounds!

Step 1: Isolate the Variable

To kick things off, we want to isolate our variable z. Here’s a tip: isolating a variable is like clearing a room of clutter so you can see clearly. We need to eliminate the constant—here, that’s -15. So, what do we do?

We simply add 15 to both sides of the equation. Let’s break it down step-by-step:

5z - 15 + 15 = 10 + 15
This gives us:

5z = 25

Step 2: Divide to Find z

Now, we have 5z = 25. To find out what z equals, we have to divide both sides by 5. Think of it like slicing a pizza into equal pieces—divide the total to share it!

So we calculate:

z = 25 / 5
And what do we get?
z = 5

And there it is! The solution for z is 5.

Why Solving for z Matters

Understanding how to manipulate equations like this is crucial—not just for the GED but in day-to-day problem solving. Whether you’re trying to balance your budget or even troubleshoot a home project, these skills are fundamental.

A Quick Recap

1. Start with your equation: 5z - 15 = 10
2. Add 15 to both sides: 5z = 25
3. Divide both sides by 5: z = 5

Boom! You’ve solved it.

Keep Practicing!

If you’re preparing for the GED math component, this is the kind of problem you’ll encounter on your journey. As you continue, remember that practice is key! Don't hesitate to tackle more equations, and try other mathematical concepts like geometry or statistics.

And hey, if you find yourself stuck, remember—everyone faces challenges in math! Just approach each problem step-by-step, and you'll gain confidence.

Keep at it, and soon, you’ll be breezing through these equations like they’re a walk in the park!