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| 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. |
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