Linear Equation Definition
in the variables x1,x2,xn is an equation that can be written in the form a1x1 + a2x2 + anxn = b
A linear equation is an algebraic equation that can be written in the form of ax + b = c, where a, b, and c are constants and x is a variable. The degree of the variable is always one, and the equation represents a straight line with a constant slope in a two-dimensional coordinate system. To solve a linear equation, we try to isolate the variable x on one side of the equation and get its value by performing inverse operations, such as addition, subtraction, multiplication, and division, on both sides of the equation. Linear equations are used widely in mathematics, physics, engineering, economics, and many other fields to represent various real-world phenomena, such as time, distance, speed, temperature, and cost. The concept of linear equations is a fundamental part of algebra and serves as a basis for more advanced mathematical concepts, such as matrices and systems of equations.
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