Solving of linear equations, linear inequalities and systems of linear equations in interactive learning environment
Marina Issakova · DSpace repository (University of Tartu) · 2007
fractions/mixed numbers (if both numbers are fractions/mixed numbers with the same sign) should be transformed to similar fractions/mixed numbers. Answer: Number …• is a solution;• is not a solution. Problem type Solve by elimination using additionTypical texts: solve by elimination using addition. Expression: system of linear equations.Constraints (for expression):• system of linear equations should be in two variables and consist of exactly two equations; • system should have exactly one solution;• system should be solvable (it should be possible to get a solved form) by presented rules.Parameters: none.Rules:• Substitute variable; • Add equations; • Reverse sides; • Move terms to other side; • Add to/Subtract from both sides; • Multiply/Divide both sides; • Clear parentheses; • Open parentheses; • Combine like terms; • Add/Subtract numbers; • Multiply/Divide numbers; • Rules for fractions and rule Common fraction to division; • Simplification rules.T-algebra algorithm: 1. Algorithm for simplification; 2. Rules Open parentheses and Clear parentheses; 3. Rules Multiply/Divide numbers and Move minus before fraction; 4. Rule Move terms to other side; 5. Algorithm for combining; 6. Rule Multiply/Divide both sides;