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# What is the history of linear equations?

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Linear algebra originated as the study of linear equations and the relationship between a number of variables. Linear algebra specifically studies the solution of simultaneous linear equations.

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A linear equation is defined as a mathematical concept in which no variable is multiplied by itself or any other variable. For instance, the equation 4x + 2y - z = 0 is a linear equation in three variables, while the equation 2x - y = 7 is a linear equation in two variables. From linear algebra emerges two important concepts: vectors and matrices. The vector corresponds to directed line segments, and the matrix finds the coefficients of a simultaneous equation.

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## Related Questions

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Basic problems in Algebra I typically teach students to solve one-step equations to find variables with addition, subtraction, multiplication and division. From there, students learn to solve two-step equations.

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In algebra, the method of substitution is used to simplify problems by reducing the number of variables or quantities. The specific details of the solution depend on the original problem.

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There are several differences including the number of variables as well as other nomials, their graphed appearance, and complexity of representation or relationship. A linear equation is the mathematical representation of a relationship that can be visualized, or graphed, as a straight line. A general function is a representation of a relationship between two or more pairs that can result in any type of line when graphed out.