Equations refer to mathematical statements that express the equality between two or more mathematical expressions using symbols, variables, and mathematical operators. They are fundamental tools in mathematics used for solving problems and representing relationships between quantities.
In equations, variables are used to represent unknown values, whereas numbers and constants represent known values. The expressions on either side of the "equals" sign are referred to as the "left-hand side" and the "right-hand side" of the equation, respectively.
When solving equations, the objective is to find the value(s) of the variable(s) that satisfy the equation and make it true. This process often involves applying various algebraic techniques, such as combining like terms, factoring, expanding, and isolating the variable.
Equations can come in different forms, including linear equations, quadratic equations, exponential equations, logarithmic equations, and trigonometric equations, among others. Each type has its specific methods and approaches for solving.
Equations play a vital role in various fields, such as physics, engineering, economics, and computer science, as they allow for the formulation and solution of mathematical models to describe real-life phenomena or solve practical problems. Moreover, equations provide a framework for understanding and exploring fundamental mathematical concepts and principles.
