document.write( "Question 1112320: You and a friend go to Taco Bell for lunch. You order three soft tacos and three burritos and your bill totals $11.25. Your friend’s bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost? Write a linear system of equations that can be used to solve this problem. \n" ); document.write( "
Algebra.Com's Answer #727343 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "The system of equation the problem asks to write is THIS:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "3T + 3B = 11.25 (1) (\"You order three soft tacos and three burritos and your bill totals $11.25\")\r\n" ); document.write( "\r\n" ); document.write( "4T + 2B = 10.00 (2) (\"Your friend’s bill is $10.00 for four soft tacos and two burritos\")\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To solve it, you may use the elimination method. For it, multiply eq(1) by 2 (both sides). Multiply eq(2) by 3 (both sides).\r\n" ); document.write( "\r\n" ); document.write( "Then subtract eq(1) (modified) from eq(2) (modified).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In this way you eliminate the unknown B and obtain a single equation for the unknown T.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Solve it for T.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "When you get the value of T, substitute it into either of two equations (1) or (2) and find B.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "That is all.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Happy calculations ! !\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------- \n" ); document.write( "If you want to see many other problems solved in this way, look into the lessons\r \n" ); document.write( "\n" ); document.write( " - Oranges and grapefruits \r \n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on tickets \r \n" ); document.write( "\n" ); document.write( " - Three methods for solving standard (typical) problems on tickets\r \n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on shares \r \n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on investment\r \n" ); document.write( "\n" ); document.write( " - Two mechanics work on a car \r \n" ); document.write( "\n" ); document.write( " - The Robinson family and the Sanders family each used their sprinklers last summer\r \n" ); document.write( "\n" ); document.write( " - Roses and vilolets \r \n" ); document.write( "\n" ); document.write( " - Counting calories and grams of fat in combined food\r \n" ); document.write( "\n" ); document.write( " - HOW TO algebreze and solve this problem on 2 equations in 2 unknowns \r \n" ); document.write( "\n" ); document.write( " - One unusual problem to solve using system of two equations \r \n" ); document.write( "\n" ); document.write( " - Solving mentally word problems on two equations in two unknowns \r \n" ); document.write( "\n" ); document.write( " - Solving systems of non-linear equations by reducing to linear ones \r \n" ); document.write( "\n" ); document.write( " - System of equations helps to solve a problem for the Thanksgiving day\r \n" ); document.write( "\n" ); document.write( " - Using system of two equations to solve the problem for the day of April, 1 \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |