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Equation:
Any equation is a condition on a variable. It is satisfied only for a definite value of the variable.
Consider the following equation \(x - 3 = 10\).
Let us substitute a few values to \(x\).
Value (\(x\)) | Equation (\(x - 3 = 10\)) | Equation satisfied or not? |
\(5\) | \(5\) \(-\) \(3\) \(=\) \(2\) | No |
\(7\) | \(7\) \(-\) \(3\) \(=\) \(4\) | No |
\(9\) | \(9\) \(-\) \(3\) \(=\) \(6\) | No |
\(11\) | \(11\) \(-\) \(3\) \(=\) \(8\) | No |
\(12\) | \(12\) \(-\) \(3\) \(=\) \(9\) | No |
\(13\) | \(13\) \(-\) \(3\) \(=\) \(10\) | Yes |
From the above tabular column, we can understand that the equation holds only to a specific condition.
Apart from \(13 - 3 = 10\), none of the conditions is satisfied.
Apart from \(13 - 3 = 10\), none of the conditions is satisfied.
An equation always contains an 'equal to' (\(=\)) sign in between.
In a valid equation, LHS will always be equal to the RHS.
Example:
1. \(2m + 8 = 25\)
2. \( k - 6 = 52\)
Expression without an 'equal to' (\(=\)) sign is not considered an equation.
Example:
1. \(b > 5\)
2. \(h\) \(×\) \(78\)
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