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 #143384 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A - B + C = 1 \n" ); document.write( "2A -2B = 0 \n" ); document.write( "3A + B -3C = 2 \n" ); document.write( ": \n" ); document.write( "multiply the 1st equation by 2, subtract the 2nd equation \n" ); document.write( "2A - 2B + 2C = 2 \n" ); document.write( "2A - 2B + 0C = 0 \n" ); document.write( "------------------ subtraction eliminates A & B, find C \n" ); document.write( "2C = 2 \n" ); document.write( "C = 1 \n" ); document.write( ": \n" ); document.write( "Substitute 1 for C in the 1st and 3rd equations \n" ); document.write( "A - B + 1 = 1 \n" ); document.write( "3A +B -3(1) = 2 \n" ); document.write( ": \n" ); document.write( "A - B = 1 - 1 \n" ); document.write( "3A +B = 2 + 3 \n" ); document.write( ": \n" ); document.write( "A - B = 0 \n" ); document.write( "3A +B = 5 \n" ); document.write( "------------Adding eliminates B \n" ); document.write( "4A = 5 \n" ); document.write( "A = \n" ); document.write( ": \n" ); document.write( "Find B using 2A - 2B = 0; therefore: B = A \n" ); document.write( "B = \n" ); document.write( ": \n" ); document.write( "Solution: A = \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in the 3rd equation: \n" ); document.write( "3A + B -3C = 2 \n" ); document.write( "3( \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "5 - 3 = 2 \n" ); document.write( " |