document.write( "Question 1132925: System of Equations with 2 Variables\r
\n" ); document.write( "\n" ); document.write( "You receive a $500 gift card to a clothing store. The store sells pants for $12 and sweaters for $21. You buy a total of 38 items and have to pay $10 of your own money beyond the gift card. How many pants and sweaters did you buy?\r
\n" ); document.write( "\n" ); document.write( "I missed a lot of math due to ill health and I have no clue where to start. Thank you for your help. \n" ); document.write( "
Algebra.Com's Answer #750085 by ikleyn(52835)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "In this site, there is a group of lessons on solving word problems using systems of 2 equations in 2 unknown.\r
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\n" ); document.write( "\n" ); document.write( "These lessons are\r
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\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns by the Substitution method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns by the Elimination method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns using determinant \r
\n" ); document.write( "\n" ); document.write( "    - Geometric interpretation of the linear system of two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "    - Useful tricks when solving systems of 2 equations in 2 unknowns by the Substitution method \r
\n" ); document.write( "\n" ); document.write( "    - Solving word problems using linear systems of two equations in two unknowns \r
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\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( "    - A theater group made appearances in two cities\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
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\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on solving systems of two linear equations in two unknowns\r
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\n" ); document.write( "\n" ); document.write( "Why don't you start reading these 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
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\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
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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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document.write( "Regarding YOUR problem, the system of equations is\r\n" );
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document.write( "     x +   y =  38        (counting items: x are pants, y are sweaters)\r\n" );
document.write( "   12x + 21y = 510        (counting dollars)\r\n" );
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document.write( "It is where to start.\r\n" );
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document.write( "Then you can solve it by the Substitution method or by the Elimination method.\r\n" );
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document.write( "Tell me if you need further assistance with this problem.\r\n" );
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\n" ); document.write( "comment from student :  Thank you so much for your help.  I think I got it right with  x= 32  and  y= 6.
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\n" ); document.write( "\n" ); document.write( "My response :   You are right - your answer is correct - my congratulations ! !\r
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\n" ); document.write( "\n" ); document.write( "REMEMBER :   You  ALWAYS  can check your answer on your own by substituting the found values into your original equations !\r
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