Saturday, February 28, 2015

Systems of equations

Systems of Equations are two equations that need to be solved together.  There are two types of answers to the equations; inconsistent or consistent.  Inconsistent equations have no solution and are usually parallel lines.  Consistent equations have solutions and if there is only 1 solution it is independent and if there are infinite solutions than it is dependent.  You can solve these equations through either substitution or elimination.  With substitution you first solve 1 equation for 1 variable and then substitute that into the other equation.   Then you solve for the variable and substitute back to find the 2nd variable. With elimination you interchange any two equations and multiply by a constant.  Then you add one equation to the other to eliminate a variable. Here is an example of this kind of problem. 

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