document.write( "Question 284735: Please help me solve this equation:
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Algebra.Com's Answer #206560 by Theo(13342)![]() ![]() You can put this solution on YOUR website! first equation is 3x + 6y = 48 \n" ); document.write( "second equation is -5x + 6y = 32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract second equation from first equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8x = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 8 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace x with 2 in the first equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 + 6y = 48\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 6 from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6y = 42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 6 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your answer should be x = 6 and y = 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute these values in both original equations to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "first equation is 3x + 6y = 48 \n" ); document.write( "second equation is -5x + 6y = 32\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x + 6y becomes 3*2 + 6*7 = 6 + 42 = 48 confirming x and y are good in the first equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-5x + 6y = 32 becomes -5*2 + 6*7 becomes -10 + 42 = 32 confirming x and y are good in the second equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your answer is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 2 and y = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |