À partir de \( x + 2y = 50 \), exprimer \( x = 50 - 2y \).

["Title: Master Algebra: Solving Linear Equations Using ( x + 2y = 50 )", "Meta Description:\nLearn how to express ( x ) in terms of ( y ) using the equation ( x + 2y = 50 ). Discover step-by-step solutions, real-world applications, and tips for mastering linear equations.", "---", "When studying algebra, one of the most fundamental skills is transforming equations to isolate variables. A classic example is the linear equation:", "[\nx + 2y = 50\n]", "At first glance, this equation contains two variables, but with a simple rearrangement, we can express ( x ) explicitly in terms of ( y ). Understanding this transformation is essential for solving systems of equations, modeling real-world scenarios, and building advanced math skills.", "### Rearranging ( x + 2y = 50 ) to Express ( x )", "To express ( x ) as a function of ( y ), follow these straightforward algebraic steps:", "1. Start with the original equation:\n [\n x + 2y = 50\n ]", "2. Isolate ( x ) by subtracting ( 2y ) from both sides:\n [\n x = 50 - 2y\n ]", "This final expression, ( x = 50 - 2y ), gives the value of ( x ) depending on any chosen value of ( y ). For instance, if ( y = 10 ), then ( x = 50 - 2(10) = 30 ), satisfying the original equation.", "---", "### Why This Matters: Applications of the Equation", "Posing and solving equations like ( x + 2y = 50 ) is not merely academic—it forms the basis for modeling relationships in economics, physics, engineering, and everyday budgeting. For example:", "- In finance, the equation could represent a budget constraint: if ( x ) is total spending and ( y ) is savings, the formula shows how spending varies with savings.\n- In science, it might model the linear relationship between two measurable quantities.", "Understanding how to manipulate such equations allows students and professionals alike to analyze, predict, and solve dynamic problems efficiently.", "---", "### Step-by-Step Summary", "- Begin with: ( x + 2y = 50 )\n- Subtract ( 2y ) from both sides\n- Result: ( x = 50 - 2y )", "This simple algebraic transformation opens the door to deeper exploration of linear relationships and systems of equations.", "---", "### Practice Tips", "- Try substituting different values for ( y ), then compute the corresponding ( x ) using ( x = 50 - 2y ).\n- Extend to graphing the equation: plot ( x ) against ( y ) to visualize the line.\n- Use the expression in word problems to build applied math skills.", "---", "### Conclusion", "Expressing ( x = 50 - 2y ) from ( x + 2y = 50 ) is a foundational algebraic skill. With clear steps and practical applications, this skill strengthens your ability to solve for variables and translate mathematical equations into real-world solutions. Mastering linear expressions today prepares you for advanced math and problem-solving tomorrow.", "---", "Keywords:\nx = 50 - 2y, linear equation, algebraic manipulation, solving linear equations, mathematical expressions, algebra basics, equation transformation, real-world equations, math problem-solving, algebra tutorial", "Tags: algebra, math tutorial, linear equations, coordinate geometry, variable expression, how to solve equations, algebra skills, math education", "---", "Start mastering equations today—because every number tells a story, and mastering ( x + 2y = 50 ) helps you write the first chapter.", "---", "If you found this helpful, share to help others strengthen their algebra foundations—because understanding how to express ( x ) in terms of ( y ) opens up countless opportunities!"]