# Write Linear Equations

In mathematics, a linear equation (also called a straight line equation) is an equation of the form ax + b = c, where the unknown quantity a is called the "coefficient of x" and b is called the "coefficient of y". If c = 0, then the equation is called a linear equation. The coefficients a and b are often considered "unknown variables". A linear equation is a special case of a system of two equations in two unknowns. The coefficient of x is a number that determines how closely the line (formula_1) passes through the origin of the coordinate system. The lines that pass through the origin are called horizontal lines. If a solution of an equation is a horizontal line, then the equation represents a point on the axis of the coordinate system, and the solution is said to be a solution of the equation. In a linear equation in two variables, the coefficients of x and y are constants. The two variables x and y are said to be "independent" if they are not dependent on each other. The two variables are usually denoted by lowercase letters (for example, "a" and "b" are commonly used for the coefficients of x and y, respectively). From the equation ax + by = c, the equation may be rewritten as ax + by + c = 0. Other examples of linear equations are: The radical equation can be generalized to a linear system of equations from the linear equation. The equation ax + by + c = 0, where "a", "b", and "c" are constants, is a linear equation. It is a special case of the linear system of equations of the form where "a", "b", and "c" are constants. The coefficients of a linear equation can be determined by inspection. In the equation ax + by = c, the coefficient of "x" is "a", and the coefficient of "y" is "b". Linear equations may be solved by inspection, by finding the values of a and b that make the equation a true equation (equivalent to a=b=c) or by finding the values of c that make the equation a true equation. In mathematics, a linear equation system is an ordered pair of equations in two unknowns. This is a system of two linear equations in two unknowns. A system of two linear equations in two unknowns is a system of two linear equations with two unknowns. Linear equations in two unknowns can be written in the form where a and b are constants, and x and y are variables. For example, the linear equations: are linear equations in two unknowns. The solution of a linear equation system is a set of values (called the solutions or solutions of the system) which satisfy both equations simultaneously. For example, the solution of the linear equation system: is the set of all real values of x and y such that: The solutions of a linear equation system can be found using the substitution method. The solution of a linear equation system is a set of values (called the solutions or solutions of the system) which satisfy both equations simultaneously. For example, the solution of the linear equation system: is the set of all real values of x and y such that: The solutions of a linear equation system can be found using the substitution method. For example, the solution of the linear equation system: is the set of all real values of x and y such that: The solutions of a linear equation system can be found using the substitution method. For example, the solution of the linear equation system: is the set of all real values of x and y such that: The solutions of a linear equation system can be found using the substitution method. For example, the solution of the linear equation system: is the set of all real values of x and y such that: The solutions of a linear equation system can be found using the substitution method. For example, the solution of the linear equation system: is the set of all real values of x and y such that: The solutions of a linear equation system can be found using the substitution method. For example, the solution of the linear equation system: is the set of all real values of x and y such that: The solutions of a linear equation system can be found using the substitution method. For example, the solution of the linear equation system: is the set of all real values of x and y such that: The solutions of a linear equation system can be found using the substitution method. For example, the solution of