Mastering Equations: Your Guide To Solving Mathematical Problems

Equation

Any two equivalent expressions; meaning, two expressions connected by an equal sign.

An equation is a mathematical statement that shows the equality of two expressions. Equations typically contain variables (represented by letters) whose values can change, and constants (represented by numbers) whose values remain fixed. To solve an equation, you need to find the value(s) of the variable(s) that makes the equation true.

For example, the equation 2x + 7 = 13 shows that the expression 2x + 7 is equal to 13. To solve for x, you would need to isolate x on one side of the equation by subtracting 7 from both sides, then dividing both sides by 2. This would give you x = 3.

Equations can be linear (involving only one variable and having a straight line as its graph), quadratic (involving a variable squared and having a parabolic graph), or involve other types of functions or operations. Equations are used extensively in mathematics, science, engineering, economics, and many other fields to model and solve real-world problems.

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