This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Algebra is a branch of mathematics that uses symbols, such as letters, to represent unknown values or quantities. These symbols, called variables, are used in equations and expressions to solve problems and describe relationships. Key concepts in algebra include: Variables: Symbols (usually letters like x, y, a, b) that stand for numbers. Expressions: Combinations of numbers, variables, and operation symbols (like +, -, ×, ÷). For example, 2x + 5 is an algebraic expression. Equations: Statements that two expressions are equal. For example, 2x + 5 = 11 is an algebraic equation. Solving Equations: The process of finding the value(s) of the variable(s) that make the equation true. Algebra is fundamental to many areas of mathematics and science, allowing us to generalize patterns and solve complex problems.