Solving $ 6 - 3y = 0 $ gives $ y = 2 $. Final answer: $ \boxed2 $. - Veritas Home Health
Solving the Equation $ 6 - 3y = 0 $: A Step-by-Step Guide to Finding $ y = 2 $
Solving the Equation $ 6 - 3y = 0 $: A Step-by-Step Guide to Finding $ y = 2 $
Solving linear equations is a fundamental skill in algebra, and one of the most common types is isolating a variable to find its value. In this article, we’ll explore how solving the equation $ 6 - 3y = 0 $ leads directly to the solution $ y = 2 $. Understanding this process helps build a strong foundation for tackling more complex math problems with confidence.
What Does the Equation $ 6 - 3y = 0 $ Mean?
Understanding the Context
The expression $ 6 - 3y = 0 $ represents a balance equation where the number 6 is reduced by three times an unknown value $ y $, and the result equals zero. To find $ y $, we need to isolate this variable on one side of the equation.
Step-by-Step Solution
Start with the equation:
$$
6 - 3y = 0
$$
Step 1: Subtract 6 from both sides
To eliminate the constant term, we subtract 6 from both sides of the equation:
$$
6 - 3y - 6 = 0 - 6
$$
$$
-3y = -6
$$
Key Insights
Step 2: Divide both sides by -3
Now, to isolate $ y $, divide every term by $ -3 $:
$$
rac{-3y}{-3} = rac{-6}{-3}
$$
$$
y = 2
$$
Final Answer
Thus, solving $ 6 - 3y = 0 $ gives $ y = 2 $. This means that when $ y $ equals 2, the left side of the equation balances precisely to zero — a satisfying confirmation of correctness.
$$
oxed{2}
$$
Why This Matters
🔗 Related Articles You Might Like:
📰 Jerome Lester’s Hidden Legacy: The Untapped Power Behind His Groundbreaking Work – Click to Discover! 📰 Jerry Mouse Exposed: The Hilarious Secret That Will Transform Your Day! 📰 You Won’t Believe How Jerry Mouse Outsmarted Everyone in His Own Town!Final Thoughts
Mastering simple linear equations like this one paves the way for understanding larger algebraic systems, functions, and real-world math applications. Confidence in solving such equations ensures you’re equipped to handle everything from budget calculations to scientific modeling.
Remember: always isolate $ y $ by undoing operations step by step, and check your solution by substituting back into the original equation.
Keywords: solve linear equation, algebra 6 - 3y = 0, step-by-step solution, value of y, how to solve for y, final answer boxed 2, 6 - 3y = 0, mathematical reasoning
