document.write( "Question 16031: My daughter is having a tough time understanding math and since I haven't done algebra in years.. I don't know how to help her. She has to solve this word problem using linear systems. Please help.\r
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document.write( "You and a friend go to a mexican restaurant. You order 2 tacos and 3 enchiladas, and your friend orders 3 tacos and 6 enchiladas. One bill is $8.00 and the other bill is $15.15. How much was each taco and each enchilada? \n" );
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Algebra.Com's Answer #7868 by askmemath(368)![]() ![]() ![]() You can put this solution on YOUR website! Let the cost of a taco = $t \n" ); document.write( "and the cost of an enchiladas = $e\r \n" ); document.write( "\n" ); document.write( "Now the cost of 2tacos and 3 enchiladas = 2t+3e = $8 (1) \n" ); document.write( "The cost of 3 tacos and 6 enchiladas = 3t+6e = $15.15 (2)\r \n" ); document.write( "\n" ); document.write( "Multiply (1) with 3 and (2) with 2\r \n" ); document.write( "\n" ); document.write( "6t+9e = 24 (3) \n" ); document.write( "6t+12e = 30.30 (4)\r \n" ); document.write( "\n" ); document.write( "Subtract (3) from (4)\r \n" ); document.write( "\n" ); document.write( "6t+12e-(6t+9e) = 30.30 -24\r \n" ); document.write( "\n" ); document.write( "3e = 6.30 \n" ); document.write( "Dividing by 3 throughout \n" ); document.write( "e = $2.10 \n" ); document.write( "Substituting in any equation we get t = $0.85 \r \n" ); document.write( "\n" ); document.write( "Do let me know if I wasnt clear enough anywhere \n" ); document.write( " |