Key Points
Key Points: Rules for Solving Linear Inequations
| Rule | Action | Effect |
|---|---|---|
| 1 | Transpose positive term to other side | Becomes − |
| 2 | Transpose negative term to other side | Becomes + |
| 3 | × / ÷ by +ve | Sign same |
| 4 | × / ÷ by −ve | Sign reverses |
| 5 | Change sign of all terms (× −1) | Sign reverses |
| 6 | Take reciprocals (both + or both −) | Sign reverses |
Key Points: Equations Reducible to Linear Equations
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Some equations are not linear in the given variables.
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By a suitable change of variables, they can be reduced to linear equations.
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After substitution, the equations become linear in the new variables.
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Denominators must not be zero.
