document.write( "Question 190977: Hi, was wondering if anyone could help me with the following system of equations problem. Steps on how to solve fully would be ideal also.\r
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document.write( "A-B+C=1
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document.write( "2A-2B=0
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document.write( "3A+B-3C=2\r
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document.write( "Any help would be most appreciated,
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document.write( "-Thanks, -Nick. \n" );
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Algebra.Com's Answer #143387 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A -B + C = 1 \n" ); document.write( "2A -2B + 0 = 0 \n" ); document.write( "3A +B -3C = 2 \n" ); document.write( "--------------- \n" ); document.write( "Subtract 2 times the 1st from the 2nd; Subtract 3 times the 1st from the 3rd: \n" ); document.write( "A -B + C = 1 \n" ); document.write( "0 +0 -2C = -2 \n" ); document.write( "0 +4B -6C = -1 \n" ); document.write( "------------------------ \n" ); document.write( "The 2nd equation tells us that C = 1 \n" ); document.write( "-------------------------- \n" ); document.write( "Substitute that into the 3rd equation to solve for \"B\": \n" ); document.write( "4B - 6 = -1 \n" ); document.write( "4B = 5 \n" ); document.write( "B = 5/4 \n" ); document.write( "-------------------------- \n" ); document.write( "Substitute those values into the 1st equation to solve for \"A\": \n" ); document.write( "A - (5/4) + 1 = 1 \n" ); document.write( "A = 5/4 \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( " |