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# Annotation of /trunk/NationalProblemLibrary/ASU-topics/set119LinearSystems/p16.pg

 1 : jjholt 101 ## DESCRIPTION 2 : ## Systems of Linear Equations 3 : ## ENDDESCRIPTION 4 : jj 61 5 : jjholt 101 ## KEYWORDS('Algebra' 'Linear Equations') 6 : ## Tagged by tda2d 7 : jj 61 8 : jjholt 101 ## DBsubject('Algebra') 9 : ## DBchapter('Systems of Equations and Inequalities') 10 : ## DBsection('Systems of Linear Equations') 11 : ## Date('') 12 : ## Author('') 13 : ## Institution('ASU') 14 : ## TitleText1('') 15 : ## EditionText1('') 16 : ## AuthorText1('') 17 : ## Section1('') 18 : ## Problem1('') 19 : 20 : jj 61 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 : "PGasu.pl", 29 : "extraAnswerEvaluators.pl" 30 : ); 31 : TEXT(beginproblem()); 32 : $showPartialCorrectAnswers = 1; 33 : 34 :$x=random(-3,3,1); 35 : $y=random(-3,3,1); 36 :$b1 = -$x +$y ; 37 : $b2 = 4*$x - 3*$y; 38 : 39 : BEGIN_TEXT 40 : Use the substitution method to solve the system 41 : $42 : \begin{array}{l} 43 : -x+y = b1, \\ 44 : 4x-3y = b2. \\ 45 : \end{array} 46 :$ 47 :$BR 48 : Your answer is: \{ans_rule(25) \} 49 : $BR 50 : If there is more than one point, type the points separated by a 51 : comma (i.e.: (1,2),(3,4)). 52 : If the system has no solution, type 53 :$BITALIC none $EITALIC in the answer blank. 54 : END_TEXT 55 : 56 :$ans1 = $x; 57 :$ans2 = $y; 58 : 59 : gage 268 #ANS(num_cmp($ans1)); 60 : #ANS(num_cmp($ans2)); 61 : jjholt 101 ANS(interval_cmp("($ans1, \$ans2)", strings=>["none"],unions=>'no')); 62 : jj 61 63 : ENDDOCUMENT(); # This should be the last executable line in the problem.