document.write( "Question 1153846: Write a system of two equations in two variables to solve the problem.\r
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document.write( "On a mother's 23-mile commute to work, she drops her daughter off at a child care center. The first part of the trip is 5 miles less than the second part. How long is each part of her morning commute?
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document.write( "first part
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document.write( " mi
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document.write( "second part
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Algebra.Com's Answer #776153 by ikleyn(52793)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let x be the first part distance, in miles; let y be the second part distance.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then your system of equations can be written in this form\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x + y = 23 (1) (miles total)\r\n" ); document.write( "\r\n" ); document.write( " x = y - 5 (2) (The first part of the trip is 5 miles less than the second part) \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "or in this form\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x + y = 23 (1) (miles total)\r\n" ); document.write( "\r\n" ); document.write( " x - y = 5 (2) (The first part of the trip is 5 miles less than the second part) \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Both forms are equivalent.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "First form is just ready for the solution by the Substitution method.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "While the second form is just ready for the solution by the Elimination method.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You may use ANY of these two forms and/or ANY of these two possible solution methods.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Enjoy Math (!)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |