document.write( "Question 567343: x + y = 3k
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document.write( "x - y = k\r
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document.write( "The solution of the system shown is _____. \n" );
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Algebra.Com's Answer #366505 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "x + y = 3k\r\n" ); document.write( "x - y = k\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Add the equations term by term just as they are and the terms in y will cancel:\r\n" ); document.write( "\r\n" ); document.write( " x + y = 3k\r\n" ); document.write( " x - y = k\r\n" ); document.write( "-----------\r\n" ); document.write( "2x = 4k\r\n" ); document.write( "\r\n" ); document.write( "Divide both sides by 2\r\n" ); document.write( "\r\n" ); document.write( " x = 2k\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Multiply the second equation x - y = k through by -1 making it\r\n" ); document.write( "-x + y = -k\r\n" ); document.write( "\r\n" ); document.write( "Then add it to the first equation term by term and the terms in x will cancel:\r\n" ); document.write( "\r\n" ); document.write( " x + y = 3k\r\n" ); document.write( "-x + y = -k\r\n" ); document.write( "-----------\r\n" ); document.write( " 2y = 2k\r\n" ); document.write( "\r\n" ); document.write( "Divide both sides by 2\r\n" ); document.write( "\r\n" ); document.write( " y = k\r\n" ); document.write( "\r\n" ); document.write( "Answer (x,y) = (2k,k)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |