document.write( "Question 1073788: Given that
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document.write( "5a - 7b + 3c = 19,
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document.write( " 2a - 4b + c = 77,
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document.write( "determine the value of a+b+c. Thank you. \n" );
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Algebra.Com's Answer #688609 by ikleyn(52799)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Given that \n" ); document.write( "5a - 7b + 3c = 19, \n" ); document.write( " 2a - 4b + c = 77, \n" ); document.write( "determine the value of a+b+c. Thank you. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "5a - 7b + 3c = 19, (1)\r\n" ); document.write( "2a - 4b + c = 77. (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Multiply equation (2) by 2 (both sides). Write the updated system:\r\n" ); document.write( "\r\n" ); document.write( "5a - 7b + 3c = 19, (1)\r\n" ); document.write( "4a - 8b + 2c = 154. (2')\r\n" ); document.write( "\r\n" ); document.write( "Subtract equation (2') from equation (1) (both sides). You will get\r\n" ); document.write( "\r\n" ); document.write( " a + B + c = 154-19 = -135.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Answer. a + b + c = -135.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |