document.write( "Question 1020152: Write a pair of equivalent equations which can be solved by adding or subtracting \r
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document.write( " 1) 2x+3y=10
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document.write( " 3x+4y=-2 \r
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document.write( "2) 7x-6=10
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document.write( " 2x+5y=23 \n" );
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Algebra.Com's Answer #636114 by ikleyn(52847)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Write a pair of equivalent equations which can be solved by adding or subtracting \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "1) \r\n" ); document.write( "\r\n" ); document.write( "2x + 3y = 10, (1)\r\n" ); document.write( "3x + 4y = -2. (2) \r\n" ); document.write( "\r\n" ); document.write( "Multiply the equation (1) by 3 (both sides) and the equation (2) by 2. You will get an equivalent system\r\n" ); document.write( "\r\n" ); document.write( "6x + 9y = 30, (1')\r\n" ); document.write( "6x + 8y = -4 (2')\r\n" ); document.write( "\r\n" ); document.write( "The last system can be solved by distraction.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "2) \r\n" ); document.write( "\r\n" ); document.write( "7x - 6 = 10,\r\n" ); document.write( "2x + 5y = 23.\r\n" ); document.write( "Are you sure you correctly wrote this system?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |