document.write( "Question 106425: From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns. Be creative. Do not use word problems that are in the assignments or course material.\r
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document.write( "é1 1 1ùéxù é100ù\r\n" );
document.write( "ê5 -3 0úêyú = ê 10ú\r\n" );
document.write( "ë0 3 4ûëzû ë290û
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Algebra.Com's Answer #77439 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! From the following augmented matrix, first write the system of equations that represents the augmented matrix and then create a real-world word problem that would represent these equations and their unknowns. Be creative. Do not use word problems that are in the assignments or course material. \n" ); document.write( " \r\n" ); document.write( "é1 1 1ù éxù é100ù\r\n" ); document.write( "ê5 -3 0ú êyú = ê 10ú\r\n" ); document.write( "ë0 3 4û ëzû ë290û \r\n" ); document.write( "\r\n" ); document.write( "The system of equations is\r\n" ); document.write( "\r\n" ); document.write( "1x + 1y + 1z = 100\r\n" ); document.write( "5x - 3y + 0z = 10\r\n" ); document.write( "0x + 3y + 4z = 290\r\n" ); document.write( "\r\n" ); document.write( "or\r\n" ); document.write( "\r\n" ); document.write( " x + y + z = 100\r\n" ); document.write( "5x - 3y = 10\r\n" ); document.write( " 3y + 4z = 290\r\n" ); document.write( "\r\n" ); document.write( "John has three numbers written on a sheet of paper. He observes\r\n" ); document.write( "that their sum is 100. He then observes that the difference \r\n" ); document.write( "between five times the first number and three times the second \r\n" ); document.write( "number is 10. Finally he observes that three times the second \r\n" ); document.write( "number increased by four times the third number is 290. What \r\n" ); document.write( "three numbers are written on John's piece of paper?\r\n" ); document.write( "\r\n" ); document.write( "Answer: first number = 20, second number = 30, third number = 50.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |