Algebra for Business: Types of systems: Inconsistent or Dependent - Essay Example

Algebra for Business: Types of systems:  Inconsistent or Dependent Corse Algebra for Business: Types of systems:  Inconsistent or Dependent Systems of equation with one or two variables are very helpful in solving every day problems. In business these systems can be used to solve complex mathematical function with simple steps and algebra. On the other hand the graphical representation allows viewing the future values. Consider two equations with two variables: x and y, 5x + y = 13 4x + 4y = 20 We can easily solve the system of equations and attain the results in the pint form so that the two lines collide at a point in graph.

In general form, the graph is such that: This is the general form. Inconsistent equations Now consider that the graphical representation of the two line show that the two lines might not cross each other at all, this means that: y = x y= x+13 In this case, there will be no solution to the set of equation, in case if it is desired to solve the system of equation, the results will be: 0 = 13, that is not true in any case. In this case, when the system results in such a form the system corresponds to be “inconsistent systems” (Algebra.com, 2014).

Dependant Equations In case, if both the equations have the similar graphs or cross each other at many points such that: y = x+13 2y = 2x +26 Both the lines, in this case, are equivalent to each other and thus cross on many points or have the similar graphs, in case if it is desired to solve the systems of equation, the results will be in such a form that: 0 = 0, that is true in all cases. Such systems are known as “dependant systems” (Algebra.com, 2014). References Algebra.com. (2014). Lesson Types of systems - inconsistent, dependent, independent.

Retrieved 2 November 2014, from http://www.algebra.com/algebra/homework/coordinate/Types-of-systems-inconsistent-dependent-independent.lesson Desmos Graphing Calculator,. (2014). Desmos Graphing Calculator. Retrieved 2 November 2014, from https://www.desmos.com/calculator