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| Solving linear equations |
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| The process of finding the value of the unknown quantity for which the equation is true, is called solving the equation. The value so found is called the root or solution of the equation. |
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| The process of solving a simple equation depends upon the following axioms: |
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| If any number is added to both sides of an equation, then the equality of the equation remains unchanged. |
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| i.e., if x = y then x + a = y + a |
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| If any number is subtracted from both sides of an equation, then the equality of the equation remains unchanged. |
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| i.e., if x = y, then x - a = y - a |
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| The following are also true. |
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| where a is a non-zero constant. |
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| Example 1: |
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| x + 3 = 4 |
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| x + 3 - 3 = 4 - 3 [- 3 is added to both sides of the equation] |
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| Example 2: |
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| 2x = 16 |
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