1.4 solving linear systems - wordpress.com · 01/09/2018 · first-place finish earns 5 points, a...
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1.4SolvingLinearSystemsDoNow:Solvethesystemofequations2" − 3% = −24" + % = 24Youhavesolvedsystemsoflinearequationswithsubstitution,elimination,andgraphing.Letustakealookinanewdimension!(X,Y,Z)Example1:SolvingaThree-VariableSystemSolvethesystem:
4" + 2% + 3) = 122" − 3% + 5) = −76" − % + 4) = −3
Example2:SolvingaThree-VariableSystemSolvethesystem:
" + % + ) = 25" + 5% + 5) = 34" + % − 3) = −6
Example3:SolvingaThree-VariableSystemSolvethesystem
" − % + ) = −3" − % − ) = −3
5" − 5% + ) = −15
Tryonyourown:
Example4:ModelingwithMathematicsPNCBankArtCenterisanamphitheaterthatchanges$75foreachseatinSectionA,$55foreachseatinSectionB,and$30foreachlawnseat.TherearethreetimesasmanyseatsinSectionBasinSectionA.Therevenuefromsellingall23,000seatsis$870,000.Howmanyseatsareineachsectionoftheamphitheater?Homework:3,5,7,12,14,18,34,41,43*