Si \( y = 15 \), alors \( x = 50 - 2(15) = 20 \).
["Title: Solving Simple Linear Equations: Example with ( y = 15 ) and ( x = 50 - 2(15) = 20 )", "---", "Understanding Basic Algebra: Solving for ( x ) When ( y = 15 )", "In algebra, solving equations is a fundamental skill, and one common type involves single-variable linear expressions. Consider the equation:", "[\ny = 15 \quad \ ext{and} \quad x = 50 - 2y\n]", "This example demonstrates how simple substitution transforms a given value of ( y ) into a precise value for ( x ).", "### Step-by-Step Explanation", "The key idea is substituting the known value of ( y ) into the expression for ( x ):", "[\nx = 50 - 2y\n]", "Since ( y = 15 ), replace ( y ) with 15:", "[\nx = 50 - 2(15)\n]", "Now perform the multiplication before subtraction:", "[\nx = 50 - 30 = 20\n]", "Thus, when ( y = 15 ), it follows directly that:", "[\nx = 20\n]", "### Why This Method Works", "This solution uses direct substitution, a core principle in solving equations. By replacing a variable with its assigned value, we convert an algebraic expression into a concrete numerical solution — essential for equations arising in science, engineering, economics, and everyday problem-solving.", "### Real-World Applications", "Linear equations like this model relationships in physics (e.g., motion with constant speed), finance (linear depreciation), and data analysis (fitting straight-line trends). Mastering substitution equips learners to analyze and predict outcomes efficiently.", "### Practice Tip", "To strengthen your understanding, try plugging in different values for ( y ) and computing related ( x ) values. For instance:\n- If ( y = 10 ), then ( x = 50 - 2(10) = 30 )\n- If ( y = 0 ), then ( x = 50 - 0 = 50 )", "This pattern highlights how function behavior changes with input.", "---", "Summary: Solving for ( x ) when ( y = 15 ) in ( x = 50 - 2y ) is straightforward: substitute ( y = 15 ), compute ( x = 50 - 2(15) = 20 ). Familiarity with this technique builds a strong foundation in algebraic reasoning and problem-solving.", "---", "Keywords: solve linear equations, substitution method, algebra example, x equals calculation, linear function substitution, solve for x, algebra practice, linear equations explained, y equals 15, x equals 20."]
