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प्रश्न
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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उत्तर
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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संबंधित प्रश्न
Solve the following equations.
`5/2 x = 25/4`
The sum of two numbers is 60 and their difference is 30.
The solution of the equation is ______.
If z + 3 = 5, then z = ______.
______ is the solution of 3x + 10 = 7.
In whole numbers, x + 8 = 12 – 4 has ______ solution.
x – ______ = 15; when `x/2` = 6.
The solution of the equation x + 15 = 19 is ______.
If 3 – x = –4, then x = ______.
If 10 less than a number is 65, then the number is ______.
Match each of the entries in Column I with the appropriate entries in Column II.
| Column I | Column II |
| (i) x + 5 = 9 | (A) `- 5/3` |
| (ii) x – 7 = 4 | (B) `5/3` |
| (iii) `x/12 = -5` | (C) 4 |
| (iv) 5x = 30 | (D) 6 |
| (v) The value of y which satisfies 3y = 5 | (E) 11 |
| (vi) If p = 2, then the value of `1/3 (1 - 3p)` | (F) – 60 |
| (G) 3 |
