document.write( "Question 462853: { 4x-5y=-18
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document.write( " 3x+2y=-2 \n" );
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Algebra.Com's Answer #317242 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " 4x - 5y = -18\r\n" ); document.write( " 3x + 2y = -2\r\n" ); document.write( "\r\n" ); document.write( "To eliminate y, we observe the coefficients of y.\r\n" ); document.write( "They are -5 and +2. If we ignore signs the least\r\n" ); document.write( "common multiple of 5 and 2 is 10, so we multiply \r\n" ); document.write( "the first equation through by 2 to make y have a \r\n" ); document.write( "coefficient of -10 and the second equation by 5 to\r\n" ); document.write( "make y have a coefficient of -10:\r\n" ); document.write( "\r\n" ); document.write( " 8x - 10y = -36\r\n" ); document.write( "15x + 10y = -10\r\n" ); document.write( "\r\n" ); document.write( "Then we add them vertically term by term:\r\n" ); document.write( "\r\n" ); document.write( " 8x - 10y = -36\r\n" ); document.write( "15x + 10y = -10\r\n" ); document.write( "覧覧覧覧覧覧覧予r\n" ); document.write( "23x = -46\r\n" ); document.write( " x = -2\r\n" ); document.write( "\r\n" ); document.write( "Substitute -2 for x in\r\n" ); document.write( "\r\n" ); document.write( " 3x + 2y = -2\r\n" ); document.write( "3(-2) + 2y = -2\r\n" ); document.write( " -6 + 2y = -2\r\n" ); document.write( " 2y = 4\r\n" ); document.write( " y = 2\r\n" ); document.write( "\r\n" ); document.write( "The solution is (x,y) = (-2,2)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |