document.write( "Question 50323: please help me solve the following system equation with three variables!!\r
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document.write( "2u-3v=13
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document.write( "3v+W=-3
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document.write( "4U-W=2 \n" );
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Algebra.Com's Answer #33419 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "Line up the equations like this:\r\n" ); document.write( "\r\n" ); document.write( "2u - 3v = 13\r\n" ); document.write( " 3v + w = -3\r\n" ); document.write( "4u - w = 2\r\n" ); document.write( "\r\n" ); document.write( "Eliminate w by adding the second and 3rd equations:\r\n" ); document.write( "\r\n" ); document.write( " 3v + w = -3\r\n" ); document.write( "4u - w = 2\r\n" ); document.write( "-----------------\r\n" ); document.write( "4u + 3v = -1\r\n" ); document.write( "\r\n" ); document.write( "Solve the system consisting of this equation\r\n" ); document.write( "and the first original equation:\r\n" ); document.write( "\r\n" ); document.write( "4u + 3v = -1\r\n" ); document.write( "2u - 3v = 13\r\n" ); document.write( "\r\n" ); document.write( "Eliminate v by adding these equations:\r\n" ); document.write( "\r\n" ); document.write( "4u + 3v = -1\r\n" ); document.write( "2u - 3v = 13\r\n" ); document.write( "------------\r\n" ); document.write( "6u = 12\r\n" ); document.write( " u = 2\r\n" ); document.write( "\r\n" ); document.write( "Substitute that in \r\n" ); document.write( "\r\n" ); document.write( " 2u - 3v = 13\r\n" ); document.write( "2(2) - 3v = 13\r\n" ); document.write( " 4 - 3v = 13\r\n" ); document.write( " -3v = 9\r\n" ); document.write( " v = -3\r\n" ); document.write( " \r\n" ); document.write( "Substitute that in \r\n" ); document.write( "\r\n" ); document.write( " 3v + w = -3\r\n" ); document.write( "\r\n" ); document.write( " 3(-3) + w = -3\r\n" ); document.write( "\r\n" ); document.write( " -9 + w = -3\r\n" ); document.write( " \r\n" ); document.write( " w = 6\r\n" ); document.write( "\r\n" ); document.write( "(u, v, w) = (2, -3, 6) \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |