In mathematics, the process of determining a value for an expression, function, or equation is a fundamental operation. This process involves substituting given values for variables and performing the indicated operations, following established mathematical rules and conventions, to arrive at a simplified result. For instance, when presented with the expression 2x + 3 and the value x = 4, substituting 4 for x and performing the arithmetic operations yields 2(4) + 3 = 8 + 3 = 11. Therefore, the resulting value is 11.
The ability to ascertain the numeric or simplified symbolic form of a mathematical construct is crucial in various fields. It underpins problem-solving across algebra, calculus, and statistics, and enables the application of mathematical models to real-world scenarios. Historically, efficient techniques for determining numerical values have been central to advancements in science and engineering, driving progress in areas such as physics, finance, and computer science. This process offers a quantifiable and verifiable outcome, enabling comparison, prediction, and decision-making based on rigorous mathematical principles.
