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Question
Any term of an equation may be transposed from one side of the equation to the other side of the equation by changing the ______ of the term.
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Solution
Any term of an equation may be transposed from one side of the equation to the other side of the equation by changing the sign of the term.
Explanation:
Transposition in algebra means moving a term from one side of the equation to the other. When you do this, you change the sign of the term:
-
A positive term becomes negative
-
A negative term becomes positive
This helps in simplifying or solving the equation.
Example:
Given:
x + 5 = 12
Transpose +5 to the other side by changing its sign:
x = 12 − 5 ⇒ x = 7
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