document.write( "Question 878182: Solve each system algebraically. Explain why you chose the method you used.\r
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Algebra.Com's Answer #529730 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I just guessed and put in an x and an equal sign in the second one.\r\n" );
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document.write( "Reduce the fraction \"48%2F9\" to \"16%2F3\"\r\n" );
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document.write( "Multiply the first one through by 3 and the\r\n" );
document.write( "second one through by 4\r\n" );
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document.write( "\"system%283x%5E2-16x%2By%2B1=0%2C%0D%0A-5x%5E2-6x%2By-2=0%29\"\r\n" );
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document.write( "Solve each for y:\r\n" );
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document.write( "\"system%28y+=+-3x%5E2%2B16x-1%2C%0D%0Ay+=+5x%5E2%2B6x%2B2%29\"\r\n" );
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document.write( "St the right sides equal\r\n" );
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document.write( "\"-3x%5E2%2B16x-1\"\"%22%22=%22%22\"\"5x%5E2%2B6x%2B2%29\" \r\n" );
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document.write( "Get 0 on the left side:\r\n" );
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document.write( "\"0\"\"%22%22=%22%22\"\"8x%5E2-10x%2B3%29\"\r\n" );
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document.write( "Factor the right side:\r\n" );
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document.write( "\"0\"\"%22%22=%22%22\"\"%282x-1%29%284x-3%29%29\"\r\n" );
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document.write( "2x-1 = 0;    4x-3 = 0\r\n" );
document.write( "  2x = 1       4x = 3\r\n" );
document.write( "   x = \"1%2F2\";       x = \"3%2F4\"\r\n" );
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document.write( "Substituting     x = \"1%2F2\" in\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-3x%5E2%2B16x-1\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-3%281%2F2%29%5E2%2B16%281%2F2%29-1\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-3%281%2F4%29%2B8-1\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-3%2F4%2B7\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-3%2F4%2B28%2F4\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"25%2F4\"\r\n" );
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document.write( "So one solution is (x,y) = \"%28matrix%281%2C3%2C1%2F2%2C+%22%2C%22%2C+25%2F4%29%29\"      \r\n" );
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document.write( "Substituting     x = \"3%2F4\" in\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-3x%5E2%2B16x-1\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-3%283%2F4%29%5E2%2B16%283%2F4%29-1\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-3%289%2F16%29%2B12-1\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-27%2F16%2B11\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-27%2F16%2B176%2F16\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"149%2F16\"\r\n" );
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document.write( "So the other solution is (x,y) = \"%28matrix%281%2C3%2C3%2F4%2C+%22%2C%22%2C+149%2F16%29%29\"     \r\n" );
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document.write( "Edwin
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