document.write( "Question 117744: please help!!! I just spent 2 hours trying to figure this out. I have multiplied the second equation by -1 to eliminate two variables but the answer seemed wrong. I tried again and multiplied the first equation by -3 to eliminate z but this answer also seemed wrong. here is the problem...\r
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document.write( "solve the linear system without using matrices or detemrinants\r
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document.write( "0.1x+0.2y+0.2z=0.2
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document.write( "0.3x+0.5y+0.1z+-0.1
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document.write( "0.2x-0.3y-0.5z=0.7 \n" );
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Algebra.Com's Answer #85712 by stanbon(75887) ![]() You can put this solution on YOUR website! 0.1x+0.2y+0.2z=0.2 \n" ); document.write( "0.3x+0.5y+0.1z+-0.1 \n" ); document.write( "0.2x-0.3y-0.5z=0.7 \n" ); document.write( "-------------------- \n" ); document.write( "Multiply every thing by 10 to get rid of the decimals: \n" ); document.write( "x +2y+2z=2 \n" ); document.write( "3x+5y+z=-1 \n" ); document.write( "2x-3y-5z=7 \n" ); document.write( "--------------- \n" ); document.write( "Multiply 1st by 3 and subtract from 2nd \n" ); document.write( "Then Multiply 1st be 2 and subtract form 3rd. \n" ); document.write( "--------------- \n" ); document.write( "x +2y+2z=2 \n" ); document.write( "0 -y -5z=-7 \n" ); document.write( "0 -7y-9z=3 \n" ); document.write( "--------------------------- \n" ); document.write( "Divide thru 2nd by -1 \n" ); document.write( "----------------- \n" ); document.write( "x +2y+2z=2 \n" ); document.write( "0 y +5z=+7 \n" ); document.write( "0 -7y-9z=3 \n" ); document.write( "----------------- \n" ); document.write( "Multiply 2nd by 7 and add to 3rd: \n" ); document.write( "------------------- \n" ); document.write( "x +2y+2z=2 \n" ); document.write( "0 y +5z=+7 \n" ); document.write( "0 0 26z=52 \n" ); document.write( "-------------- \n" ); document.write( "Divide thru 3rd by 26 to get: \n" ); document.write( "------------- \n" ); document.write( "x +2y+2z=2 \n" ); document.write( "0 y +5z=+7 \n" ); document.write( "0 0 z =2 \n" ); document.write( "------------------ \n" ); document.write( "Now that you know z=2 you can solve 2nd for y; then you \n" ); document.write( "can solve 1st for x. \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |