Friday, December 14, 2012

THREE EQUATIONS - THREE UNKOWNS

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In Solving Algebraic Systems we frequently
MULTIPLY an EQUATION by a NUMBER
that will create OPPOSITE COEFFICIENTS.
Be VERY CAREFUL to MULTIPLY
both sides of the EQUATION by the number.
As can be seen in the first example below,
we MULTIPLY equation #1 by (-3)
so that the VARIABLE   "P"    will cancel.

Notice that we MULTIPLY ALL TERMS BY (-3)
5M(-3) is -15M ....   3N(-3) is -9N ...  1P(-3) is -3P ...and...4(-3) is -1

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Tuesday, December 11, 2012

Linear Programming

Linear Programming
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#3 is worked out in detail BELOW #3

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#3 worked out in DETAIL:



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Friday, December 7, 2012

Graphing Systems of Inequalities

When graphing Systems of Inequalities you are
finding the REGION of the xy-plane that
contains ALL the ORDERED PAIRS that
make BOTH INEQUALITIES TRUE.

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**********************Below is EXAMPLE #1******************



***********************Below is EXAMPLE #2******************

************************Below is EXAMPLE #3*******************



************************Below is EXAMPLE #4********************



*************************Below is EXAMPLE #5***************************




*****************************Below is EXAMPLE #6********************





*************************Below is EXAMPLE #7***************************




****************************Below is EXAMPLE #8*********************







************************Below is EXAMPLE #9************************





*********************************Below is EXAMPLE #10*********************



***************************Below is EXAMPLE #11*********************




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