document.write( "Question 747338: Solve by substitution. \r
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document.write( "X+3Y=15
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document.write( "2x-3y=3 \n" );
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Algebra.Com's Answer #852540 by ikleyn(53066) You can put this solution on YOUR website! . \n" ); document.write( "Solve by substitution. \n" ); document.write( "X+3Y=15 \n" ); document.write( "2x-3y=3 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "You have two equations\r\n" ); document.write( "\r\n" ); document.write( " x + 3y = 15, (1)\r\n" ); document.write( " 2x - 3y = 3. (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "They want you solve it by the substitution method.\r\n" ); document.write( "For it, from equation (1) express x = 15 - 3y and substirute it into equation (2), replacing x there\r\n" ); document.write( "\r\n" ); document.write( " 2*(15-3y) - 3y = 3.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify it and find 'y'\r\n" ); document.write( "\r\n" ); document.write( " 30 - 6y - 3y = 3,\r\n" ); document.write( "\r\n" ); document.write( " 30 - 3 = 6y + 3y,\r\n" ); document.write( "\r\n" ); document.write( " 27 = 9y\r\n" ); document.write( "\r\n" ); document.write( " y = 27/9 = 3.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now x = 15 - 3y = 15 - 3*3 = 15*9 = 6.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. x = 6, y = 9.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You may substitute these values into original equation\r\n" ); document.write( "to make sure that this answer is correct.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer in the post by @lynnlo is incorrect, so please ingnore it.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |