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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
6z + 10 = -2
Solve: – 2(x + 3) = 8.
The equation which cannot be solved in integers is ______.
The equation having – 3 as a solution is ______.
______ is the solution of the equation 3x – 2 = 7.
If `x - 7/8 = 7/8`, then x = ______.
`9/5` is the solution of the equation 4x – 1 = 8.
If 4x – 7 = 11, then x = 4.
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 |
Seven times a number is 12 less than thirteen times the same number. Find the number.
