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प्रश्न
Given below are some equations and the values of the variables. Are these values the solutions to those equations?
| No | Equation | Value of the variable | Solution (Yes/No) |
| 1 | y - 3 = 11 | y = 3 | No |
| 2 | 17 = n + 7 | n = 10 | |
| 3 | 30 = 5x | x = 6 | |
| 4 | `"m"/2 = 14` | m = 7 |
बेरीज
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उत्तर
| No | Equation | Value of the variable | Solution (Yes/No) |
| 1 | y − 3 = 11 | y = 3 | No |
| 2 | 17 = n + 7 | n = 10 | Yes |
| 3 | 30 = 5x | x = 6 | Yes |
| 4 | `"m"/2 = 14` | m = 7 | No |
Explanation:
(1) When y = 3,
LHS = y − 3 = 3 − 3 = 0
RHS = 11
Since LHS ≠ RHS, so y = 3 is not a solution of equation
y − 3 = 11.
(2) When n = 10,
RHS = n + 7 = 10 + 7 = 17
LHS = 17
Since LHS = RHS, so n = 10 is a solution of equation
17 = n + 7.
(3) When x = 6,
RHS = 5x = 5 × 6 = 30
LHS = 30
Since LHS = RHS, so x = 6 is a solution of equation
30 = 5x.
(4) When m = 7,
LHS = `"m"/2 = 7/2`
RHS = 14
Since LHS≠ RHS, so m = 7 is not a solution of equation `"m"/2 = 14`
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