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Mat/205

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Submitted By ellis23
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Individual Focus on Application

Systems of linear equations are categorized as algebraic equations to where each of the terms is a constant or is the product of the constant and variable. Linear equations regularly appear throughout a lifetime in common situations, because many of measurable quantities are considered proportional within other quantities and have a relation linearly. A simple way of understanding the linear system is to say that it is a collection of linear equations that involve a same set of variables.
The simplest form by definition in linear system would be y=mx+b. Each of the letters m and b are the constants in the equation, with m referring to the slope of the equation on the x/y plane and is is the point where the line hits the y-axis. A general form of linear equation is not normally defined to constrain an equation with two variables. An example would be x+z+y+w=3 would be considered a linear equation, but z+x+xy=3 would not due to the xy come in second order. A system of linear equations must be solved at the same time to ensure a point where the two lines will cross the x/y plane graphically.
Linear equations are used in our society on a daily basis more often then we believe the complexity would be used. For example, computer programs are developed to be the ultimate equation solvers in times where numbers of configuration become larger that human calculation poses time for. Computer games and software are another great example of how equations can be applied to societies pleasure, because software developer had to come up with an equation of how motion and detection would work. Business are another common example as to how equations help determine profits, price, and cost. Taxes are another great example of configuring equations on a daily basis. Anyone who holds employment has to pay taxes in most states and cities and when you work your employer uses an equation to calculate the precise amounts to send to the federal government and the amount of money to issue your paycheck.

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