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# Annotation of /trunk/NationalProblemLibrary/UVA-FinancialMath/setFinancialMath-Sect10-AlgebraPrereqs/math114-0-22.pg

 1 : gage 5 ## DESCRIPTION 2 : ## Financial mathematics: algebra prerequisites 3 : ## ENDDESCRIPTION 4 : 5 : ## KEYWORDS('financial mathematics', 'algebra') 6 : ## JJH tagged this problem. 7 : 8 : ## DBsubject('Financial Mathematics') 9 : ## DBchapter('Introduction to Interest') 10 : ## DBsection('Algebra Prerequisites') 11 : ## Date('5/22/2005') 12 : ## Author('Jeff Holt') 13 : ## Institution('UVA') 14 : ## TitleText1('Financial Mathematics') 15 : ## EditionText1('1') 16 : ## AuthorText1('Holt') 17 : ## Section1('1.0') 18 : ## Problem1() 19 : 20 : DOCUMENT(); # This should be the first executable line in the problem. 21 : 22 : loadMacros( 23 : "PG.pl", 24 : "PGbasicmacros.pl", 25 : "PGchoicemacros.pl", 26 : "PGanswermacros.pl", 27 : "PGauxiliaryFunctions.pl" 28 : ); 29 : 30 : TEXT(beginproblem()); 31 : $showPartialCorrectAnswers = 1; 32 : 33 :$x=non_zero_random(-4,4,1); 34 : $y=non_zero_random(-4,4,1); 35 :$b1 = -$x +$y ; 36 : $b2 = 4*$x - 3*$y; 37 : 38 : BEGIN_TEXT 39 : Use the substitution method to solve the system 40 : $41 : \begin{array}{l} 42 : -x+y = b1, \\ 43 : 4x-3y = b2. \\ 44 : \end{array} 45 :$ 46 :$BR 47 : Your answer is 48 : $BR 49 : $$x=$$ \{ans_rule(25) \} 50 :$BR 51 : $$y=$$ \{ans_rule(25) \} 52 : $BR 53 : END_TEXT 54 : 55 :$ans1 = $x; 56 :$ans2 = $y; 57 : 58 : ANS(num_cmp($ans1)); 59 : ANS(num_cmp(\$ans2)); 60 : 61 : ENDDOCUMENT(); # This should be the last executable line in the problem.