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For two main reasons.
The first reason is that, depending on the information that is available to you (two points, a point and slope, slope and intercept) one or the other form is easier to find.
The second reason is that different forms are "better" in different situations. The slope and intercept are parameters that have very obvious interpretations in 2-dimensional geometry. In 3-d, however, they don't make such obvious sense.
The general form: ax + by + cz = k where a, b, c and k are constants is a line in 3-dimensional space. It is easily converted to 2-d (just remove the z term) or extended to 4-dimensions (add a "dw" term where d is a constant and w another variable). Extension to 5 or more dimensions is done similarly.
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Two or more linear equations together form a?
Simultaneous equation
What is the definition of Simultaneous Linear Equations?
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
Is this statement true or false A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line?
The statement "A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line" is true.
What are 2 symbolic techniques used to solve linear equations and which is better?
There are more than two methods, and of these, matrix inversion is probably the easiest for solving systems of linear equations in several unknowns.
What is Simultaneous Equations?
Simultaneous equation is nothing: it cannot exist.A system of simultaneous equations is a set of 2 or more equations with a number of variables. A solution to the system is a set of values for the variables such that when the variables are replaced by these values, each one of the equations is true.The equations may be linear or of any mathematical form. There may by none, one or more - including infinitely many - solutions to a system of simultaneous equations.
