document.write( "Question 246351: Please help me solve this linear system with three variables. \r
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document.write( "2x-y+2z=-21
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document.write( "x+5y-z=25
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document.write( "-3x+2+4z=6\r
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document.write( "I had attempted to replicate the example.\r
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document.write( "6x-3y+6z=-62
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document.write( "-6x+4y+8z=12
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document.write( "y+14z=40\r
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document.write( "3x+5y-3z=75
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document.write( "-3x+2y+4z=6
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document.write( "17y-z=81\r
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Algebra.Com's Answer #190226 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! 2x-y+2z=-21 \n" ); document.write( "x+5y-z=25 \n" ); document.write( "-3x+2+4z=6 \n" ); document.write( "I had attempted to replicate the example. \n" ); document.write( "6x-3y+6z=-62 ** = -63, not -62 \n" ); document.write( "-6x+4y+8z=12 \n" ); document.write( "-------------- Add \n" ); document.write( "y+14z=40 ** -51 \n" ); document.write( "---------------- \n" ); document.write( "3x+5y-3z=75 ** + 15y, not 5y \n" ); document.write( "-3x+2y+4z=6 \n" ); document.write( "17y-z=81 --> 17y + z = 81 ** not -z \n" ); document.write( "--------------- \n" ); document.write( "Your method is good, but you made some errors. \n" ); document.write( "------------- \n" ); document.write( "y + 14z = -51 --> y = -14z - 51 \n" ); document.write( "17y + z = 81 \n" ); document.write( "----------- Since y has a coeff of 1, use substitution. \n" ); document.write( "17*(-14z-51) + z = 81 \n" ); document.write( "-237z - 867 = 81 \n" ); document.write( "-237z = 948 \n" ); document.write( "z = -4 \n" ); document.write( "-------- \n" ); document.write( "y = 5 \n" ); document.write( "------ \n" ); document.write( "Sub to find x\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |