document.write( "Question 1136671: Twice last​ month, Judy Carter rented a car in​ Fresno, California, and traveled around the Southwest on business. The car rental agency rents its cars for a daily​ fee, plus an additional charge per mile driven. Judy recalls that her first trip lasted 4​ days, she drove 390 ​miles, and the rental cost her ​$260.50. On her second business trip she drove 190 miles in 3​ days, and paid ​$159.50 for the rental. Find the daily fee and the mileage charge. \n" ); document.write( "
Algebra.Com's Answer #754467 by ikleyn(52787)\"\" \"About 
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document.write( "Let x be daily fee and y be additional charge per mile.\r\n" );
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document.write( "Then from the condition we have this system of 2 equations in 2 unknowns\r\n" );
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document.write( "    4x + 390y = 260.50  dollars    (1)\r\n" );
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document.write( "    3x + 190y = 159.50  dollars    (2)\r\n" );
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document.write( "Now I apply the determinant method (the Cramer's rule) :\r\n" );
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document.write( "    1)  d = determinant of the coefficient matrix = 4*190 - 3*390 = -410;\r\n" );
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document.write( "    2)  x = \"%28260.50%2A190+-+159.50%2A390%29%2F%28-410%29\" = 31;\r\n" );
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document.write( "    3)  y = \"%284%2A159.50+-+3%2A260.50%29%2F%28-410%29\" = 0.35.\r\n" );
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document.write( "ANSWER.  Daily fee is $31;  Mileage charge is $0.35 per mile.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On the Determinants' method for solving the systems of two linear equations in two unknowns see the lessons \r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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