Mastering Equations: The Fundamentals of Mathematical Modeling and Problem-Solving

Equation

a statement that two quantities have the same value

An equation is a mathematical statement that shows that two expressions are equal. It is made up of variables, constants, and mathematical symbols such as plus (+), minus (-), multiplication (x), and division (/). An equation may have one or more variables, and the goal is usually to find the value or values of the variables that satisfy the equation.

For example, the equation 2x + 3 = 7 is a simple equation with one variable (x). The goal is to find the value of x that satisfies the equation. By subtracting 3 from both sides and then dividing by 2, we get x = 2 as the solution.

Equations are an important tool in mathematics, science, and engineering for modeling real-world situations and solving problems. They are used to describe relationships between variables, predict outcomes, and make calculations.

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