\[ 3y = rac{69}{7} \]

["# Solving the Equation: 3y = 69/7 – A Step-by-Step Guide", "Understanding how to solve linear equations is essential for mastering algebra. In this article, we’ll explore how to solve the equation 3y = 69/7, step by step, while highlighting useful techniques and real-world applications. Whether you're a student, educator, or math enthusiast, this breakdown will help you confidently tackle similar equations.", "---", "## What Does 3y = 69/7 Mean?", "The equation 3y = 69/7 is a simple linear equation where variable y is multiplied by 3 and equals a fraction. Solving for y means finding the value of y that makes both sides equal. This skill builds a strong foundation for algebra and more advanced mathematics.", "---", "## Step-by-Step Solution", "### Step 1: Isolate the Variable y\nTo solve for y, divide both sides of the equation by 3:", "[\n3y = \frac{69}{7}\n]", "[\ny = \frac{69}{7} \div 3\n]", "### Step 2: Rewrite Division as Multiplication by the Reciprocal\nDividing by 3 is the same as multiplying by 1/3:", "[\ny = \frac{69}{7} \ imes \frac{1}{3}\n]", "### Step 3: Multiply the Fractions\nMultiply the numerators and denominators:", "[\ny = \frac{69 \ imes 1}{7 \ imes 3} = \frac{69}{21}\n]", "### Step 4: Simplify the Fraction\nFind the greatest common divisor (GCD) of 69 and 21. The GCD is 3:", "[\n\frac{69 \div 3}{21 \div 3} = \frac{23}{7}\n]", "---", "## Final Answer", "[\ny = \frac{23}{7}\n]", "This can also be expressed as a decimal:\n[\ny \approx 3.2857\n]", "---", "## Why This Equation Matters", "Linear equations like 3y = 69/7 appear frequently in real-world scenarios, such as:", "- Budgeting: Calculating costs or savings over time.\n- Distance and Speed: Finding time taken given distance and velocity.\n- Science: Solving for quantities in chemical or physical formulas.", "Mastering these basic algebraic steps not only boosts math proficiency but also empowers problem-solving across disciplines.", "---", "## Practice Time", "Try solving similar equations:\n- 2x = 36/5 → x = ?\n- 5y = 85/2 → y = ?", "Applying the same method will strengthen your algebraic intuition.", "---", "## Frequently Asked Questions (FAQs)", "Q: How do I divide by 3 in 3y = 69/7?\nA: Dividing by 3 is equivalent to multiplying by 1/3.\nQ: Can I leave the answer as a fraction?\nA: Yes—the simplified fractional form is clean and precise. Decimals are useful for approximations.", "---", "## Conclusion", "Solving 3y = 69/7 teaches key algebraic skills with a clear, manageable example. By isolating y, simplifying fractions, and reducing steps, solving linear equations becomes intuitive. Keep practicing—each equation brings you closer to mastery!", "---", "Keywords for SEO:\n3y = 69/7, solve linear equation, algebraic equations, fraction division, step-by-step algebra, fractional solution, how to solve 3y = 69/7, simplify 3y equation, real-world math problems", "Meta Description:\nLearn how to solve 3y = 69/7 step-by-step. Understand fraction division, simplify expressions, and apply algebra to real-life problems with clear examples. Ideal for students and learners."]