Substitute \( x = \frac{100}{23} \) into equation (2):

["SEO-Optimized Article: Substituting ( x = \frac{100}{23} ) into Equation (2) – Simplify and Solve", "---", "Title: Simplify and Solve: Substituting ( x = \frac{100}{23} ) Into Equation (2)", "Meta Description:\nLearn how to substitute ( x = \frac{100}{23} ) into Equation (2) and simplify step-by-step. Perfect for students and math enthusiasts mastering algebraic substitution and simplification techniques.", "---", "### Introduction", "In algebra and equation solving, substitution is a fundamental strategy. One interesting exercise involves substituting a fractional value—like ( x = \frac{100}{23} )—into a given equation, then simplifying the result. Whether you're preparing for exams, tackling homework, or expanding your math skills, understanding how to handle this substitution efficiently is key. This article walks you through substituting ( x = \frac{100}{23} ) into Equation (2), simplifying the expressions, and interpreting the outcome—all with clarity and precision.", "---", "### What is Equation (2)?", "Before diving into substitution, it’s helpful to clarify what Equation (2) represents. While Equation (2) isn’t specified in the prompt, it’s commonly assumed to be a linear or quadratic equation such as:", "[\nax + b = 0 \quad \ ext{or} \quad 2x^2 + 3x - 5 = 0\n]", "For this explanation, assume Equation (2) is a general linear form involving ( x ), allowing direct substitution of ( x = \frac{100}{23} ).", "---", "### Step 1: Substitute ( x = \frac{100}{23} ) into Equation (2)", "Let’s substitute ( x = \frac{100}{23} ) into a typical Equation (2), such as:", "[\ny = 4x - 7\n]", "Substituting:", "[\ny = 4\left(\frac{100}{23}\right) - 7\n]", "---", "### Step 2: Perform the Multiplication", "Multiply:", "[\n4 \cdot \frac{100}{23} = \frac{400}{23}\n]", "So now:", "[\ny = \frac{400}{23} - 7\n]", "---", "### Step 3: Express 7 as a Fraction with Denominator 23", "To subtract, convert 7 to have a denominator of 23:", "[\n7 = \frac{7 \cdot 23}{23} = \frac{161}{23}\n]", "Now the equation becomes:", "[\ny = \frac{400}{23} - \frac{161}{23} = \frac{400 - 161}{23} = \frac{239}{23}\n]", "---", "### Step 4: Final Simplified Result", "[\ny = \frac{239}{23}\n]", "This fraction is fully simplified, as 239 and 23 share no common divisors other than 1 (23 is prime).", "---", "### Why This Matters: Practical Applications", "Substituting specific values like ( x = \frac{100}{23} ) into equations enables:", "- Verification of solutions: Confirming if given numbers satisfy the equation\n- Numerical analysis: Evaluating real-world models, scores, or measurements in applied math\n- Foundation for advanced topics: Linear programming, optimization, and computational algebra rely on substitution and simplification", "---", "### Conclusion", "Substituting ( x = \frac{100}{23} ) into Equation (2) and simplifying step-by-step yields a clear, precise result: ( y = \frac{239}{23} ). Mastering this technique strengthens algebraic fluency and prepares learners for complex problem-solving across academic and real-world contexts.", "---", "Keep practicing substitution with different equations—each value strengthens your mathematical intuition!", "---", "### SEO Keywords & SEO Tips", "- Target keywords: substitute x into equation, simplify algebraic expression, fraction substitution math\n- Use people-search terms: how to substitute x in equation, solve 4x - 7 with 100/23\n- Structure: Clear headings (#1, #2), step-by-step explanation, real-world context\n- Internal links: Link to related articles like “How to Simplify Rational Expressions” or “Linear Equation Solving Tips”\n- Image suggestions: Diagrams showing substitution flow or solved equation breakdown", "---", "Ready to substitute smarter? Start with ( x = \frac{100}{23} ) today!"]