Simultaneous Equations

# Simultaneous Equations - SimultaneousEquations Elimination

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Simultaneous Equations

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Elimination http://www.teacherschoice.com.au/maths_library/algebra/alg_10.htm
Substitution http://www.teacherschoice.com.au/maths_library/algebra/alg_10.htm y = 2

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Cramer's rule

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0 1 1 0 1 24 50 0 24 50 24 0 200 24 0 = 0 0 0 = 0 0 1 1 0 1 24 50 0 24 50 = 1200 0 4800 = 6000 24 0 200 24 0 -6000 -1 1 1 -1 1 10 50 0 10 50 10 0 200 10 0 = -10000 0 0 = -10000 -1 1 1 -1 1 10 50 0 10 50 = 500 0 2000 = 2500 10 0 200 10 0 -12500
-1 0 1 -1 0 10 24 0 10 24 10 24 200 10 24 = -4800 0 240 = -4560 -1 0 1 -1 0 10 24 0 10 24 = 240 0 0 = 240 10 24 200 10 24 -4800 -1 1 1 -1 1 10 50 0 10 50 10 0 200 10 0 = -10000 0 0 = -10000 -1 1 1 -1 1 10 50 0 10 50 = 500 0 2000 = 2500 10 0 200 10 0 -12500

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-1 1 0 -1 1 10 50 24 10 50 10 0 24 10 0 = -1200 240 0 = -960 -1 1 0 -1 1 10 50 24 10 50 = 0 0 240 = 240 10 0 24 10 0 -1200 -1 1 1 -1 1 10 50 0 10 50 10 0 200 10 0 = -10000 0 0 = -10000 -1 1 1 -1 1 10 50 0 10 50 = 500 0 2000 = 2500 10 0 200 10 0 -12500
Determinants in Excel -1 1 0 10 50 24 = -1200 10 0 24

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1 y + 1 z = 0 -1 1 1 x 0 10 x + 50 y + 0 z = 24 10 50 0 y = 24 10 x + 0 y + 200 z = 24 10 0 200 z 24 0 1 1 24 50 0 24 0 200 -6000 x = = = 0.48 -1 1 1 -12500 10
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## This document was uploaded on 12/28/2011.

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Simultaneous Equations - SimultaneousEquations Elimination

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