3z - 8z = 2 + 5 - jntua results

Solving 3z – 8z = 2 + 5: A Step-by-Step Guide to Solve Linear Equations

Mathematics often presents challenges in the form of equations that demand step-by-step logic to unlock their solutions. One such equation that many students encounter is 3z – 8z = 2 + 5. While it might seem simple at first glance, understanding how to solve it properly not only helps with algebra basics but builds a strong foundation for more complex problem-solving.

In this article, we’ll break down how to solve 3z – 8z = 2 + 5, explain the important algebraic steps, and highlight why mastering such equations is key in both school and real-world applications.

Understanding the Context

What Is the Equation: 3z – 8z = 2 + 5?

At first glance, this is a linear equation involving one variable, z. Though the expression looks short, correctly simplifying and solving it requires attention to order of operations and basic algebraic principles.

Let’s rewrite it clearly:

Key Insights

3z – 8z = 2 + 5

Step 1: Simplify Both Sides

Start by simplifying both sides using arithmetic rules:

Left side: 3z – 8z = -5z
Right side: 2 + 5 = 7

🔗 Related Articles You Might Like:

📰 "Fairy Type Awakened? Risk These Stunning Transformations Before It’s Too Late! 📰 "The Ultimate Guide to Secret Fairy Type Traits That Will Change Your Life! 📰 Believe in Fairy Types—Explore the Glowing Features Everyone’s Missing! 📰 Finally Equalized At Launch Madden 24 Stuns Players With Unreal Gameplay 📰 Finally Found The Low Calorie Tortilla That Fits Your Dietheres Why 📰 Finally Found The Lowest Calorie Alcohol Turn Your Night Into A Guilt Free Refreshing Bonfire 📰 Finally Found The Ultimate Low Tapered Fade Black Hair Gamesay Goodbye To Blends In Seconds 📰 Finally How The Repeated Number 7 Unlocks Hidden Wealth And Luck 📰 Finally Letter Tracing Worksheets That Transform Messy Letters Into Perfect Handwriting 📰 Finally Log In With Psn Like A Pro Troubleshoot Fast Access Your Account Easily 📰 Finally Reached Peace With Let It All Work Outyou Wont Believe How It Changed Everything 📰 Finally Revealed How Magic The Gathering Stole Final Fantasys Soul In The Ultimate Crossover 📰 Finally The Secret To Stunning Stronger Legs Try Leg Extensions Today 📰 Finally The Truth Behind Lisa Vanderpumps Lucrative Empire Who Has The Highest Net Worth 📰 Finally The Ultimate Guide To Achieving Like A Dragon Infinite Wealth No More Poverty 📰 Finally The Ultimate Guide To Low Calorie Drinks That Quench Thirst Not Your Goals 📰 Find The Needed Score For The Fourth Test 340 253 87 📰 Find The Sum Of All Integer Solutions To The Inequality 2X 5 9

Final Thoughts

Now the equation becomes:

-5z = 7

Step 2: Isolate the Variable z

To solve for z, divide both sides by –5:

z = 7 ÷ (–5)
z = –7/5

This fraction can also be written as the decimal –1.4, offering two common ways to express the solution.

Why Is Solving Such Equations Important?

Solving linear equations like 3z – 8z = 2 + 5 is fundamental not only in algebra but in many practical scenarios: