document.write( "Question 1157953: Solve for two equations
\n" ); document.write( "100x+95y+10z= 54(x+y+z)\r
\n" ); document.write( "\n" ); document.write( "95x+10y+5z= 33(x+y+z)\r
\n" ); document.write( "\n" ); document.write( "How to find x,y,z?\r
\n" ); document.write( "\n" ); document.write( "Answer should be: x=3, y=2, z=5
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Algebra.Com's Answer #780890 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"100x%2B95y%2B10z=+54%28x%2By%2Bz%29\"\r
\n" ); document.write( "\n" ); document.write( "\"100x%2B95y%2B10z=+54x%2B54y%2B54z\"\r
\n" ); document.write( "\n" ); document.write( "\"100x%2B95y%2B10z-54x-54y-54z=0\"\r
\n" ); document.write( "\n" ); document.write( "\"46x%2B41y-44z=0\"........solve for \"z\"\r
\n" ); document.write( "\n" ); document.write( "\"46x%2B41y=44z\"\r
\n" ); document.write( "\n" ); document.write( "\"z=46x%2F44%2B41y%2F44\"\r
\n" ); document.write( "\n" ); document.write( "\"z=23x%2F22%2B41y%2F44\"...........eq.1\r
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\n" ); document.write( "\n" ); document.write( "\"95x%2B10y%2B5z=+33%28x%2By%2Bz%29\"\r
\n" ); document.write( "\n" ); document.write( "\"95x%2B10y%2B5z=+33x%2B33y%2B33z\"\r
\n" ); document.write( "\n" ); document.write( "\"95x%2B10y%2B5z-33x-33y-33z=0\"\r
\n" ); document.write( "\n" ); document.write( "\"62x+-+23y+-+28z+=+0\"........solve for \"z\"\r
\n" ); document.write( "\n" ); document.write( "\"62x+-+23y+=28z+\"\r
\n" ); document.write( "\n" ); document.write( "\"z=62x%2F28+-+23y%2F28\"\r
\n" ); document.write( "\n" ); document.write( "\"z=31x%2F14+-+23y%2F28\"...........eq.2\r
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\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2 we have\r
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\n" ); document.write( "\n" ); document.write( "\"23x%2F22%2B41y%2F44=31x%2F14+-+23y%2F28\".......solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"23y%2F28%2B41y%2F44=31x%2F14+-+23x%2F22\"\r
\n" ); document.write( "\n" ); document.write( "\"23y%2F28%2B41y%2F44=31x%2F14+-+23x%2F22\"\r
\n" ); document.write( "\n" ); document.write( "\"%28135y%29%2F77=%2890+x%29%2F77\"\r
\n" ); document.write( "\n" ); document.write( "\"135y=77%2890+x%29%2F77\"\r
\n" ); document.write( "\n" ); document.write( "\"135y=90x\"\r
\n" ); document.write( "\n" ); document.write( "\"y=90x%2F135\"\r
\n" ); document.write( "\n" ); document.write( "\"y=+2x%2F3\".............1a\r
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\n" ); document.write( "\n" ); document.write( "go to \"z=31x%2F14+-+23y%2F28\"...........eq.2, substitute \"y\"\r
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\n" ); document.write( "\n" ); document.write( "\"z=31x%2F14+-+%2823%282x%2F3%29%29%2F28\"\r
\n" ); document.write( "\n" ); document.write( "\"z=31x%2F14+-+%2846x%2F3%29%2F28\"\r
\n" ); document.write( "\n" ); document.write( "\"z=31x%2F14+-+23x%2F42\"\r
\n" ); document.write( "\n" ); document.write( "\"z=5x%2F3\".............1b\r
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\n" ); document.write( "\n" ); document.write( "Real solution:\r
\n" ); document.write( "\n" ); document.write( "\"y=+2x%2F3\"
\n" ); document.write( "\"z=5x%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "Integer solution:
\n" ); document.write( "\"y=+2x\"
\n" ); document.write( "\"z=5x+\"\r
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\n" ); document.write( "\n" ); document.write( "=>since \"x\" could be any number \"3n\" (because of fraction in real solution), integer solution is\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+3n\", \"y+=+2n\", \"z+=+5n\", where \"n\" element \"Z\"\r
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\n" ); document.write( "\n" ); document.write( "if we start with \"n=1\", solution is \"highlight%28x+=+3%29\", \"highlight%28y+=+2%29\", \"highlight%28z+=+5%29\"\r
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\n" ); document.write( "\n" ); document.write( "check if statement is true if \"x+=+3\", \"y+=+2\", \"z+=+5\" :\r
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\n" ); document.write( "\n" ); document.write( "\"100x%2B95y%2B10z=+54%28x%2By%2Bz%29\"\r
\n" ); document.write( "\n" ); document.write( "\"100%2A3%2B95%2A2%2B10%2A5=+54%283%2B2%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"300%2B190%2B50=+54%2810%29\"\r
\n" ); document.write( "\n" ); document.write( "\"540=+540\"=>true\r
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\n" ); document.write( "\n" ); document.write( "let's check if \"n=2\", solution is \"x+=+6\", \"y+=+4\", \"z+=+10\"\r
\n" ); document.write( "\n" ); document.write( "\"100x%2B95y%2B10z=+54%28x%2By%2Bz%29\"\r
\n" ); document.write( "\n" ); document.write( "\"100%2A6%2B95%2A4%2B10%2A10=+54%286%2B4%2B10%29\"\r
\n" ); document.write( "\n" ); document.write( "\"600%2B380%2B100=+54%2820%29\"\r
\n" ); document.write( "\n" ); document.write( "\"1080=+1080\"=>true\r
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