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प्रश्न
The solution of which of the following equations is neither a fraction nor an integer?
पर्याय
2x + 6 = 0
3x – 5 = 0
5x – 8 = x + 4
4x + 7 = x + 2
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उत्तर
4x + 7 = x + 2
Explanation:
Let us solve the equations:
a. Given equation is 2x + 6 = 0
⇒ 2x = –6 ...[Transposing 6 to RHS]
⇒ x = `-6/2` ...[Dividing both sides by 2]
⇒ x = –3 ...(Integer)
b. Given equation is 3x – 5 = 0
⇒ 3x = 5 ...[Transposing 5 to RHS]
⇒ k = `5/3`(fraction) ...[Dividing both sides by 3]
c. Given equation is 5x – 8 = x + 4
⇒ 5x = x + 4 + 8 ...[Transposing 8 to RHS]
⇒ 5x = x + 12
⇒ 5x – x + 12 ...[Transposing x to LHS]
⇒ 4x = 12
⇒ x = 3 (Integer) ...[dividing both sides by 4]
d. Given equation is 4x + 7 = x + 2
⇒ 4x + 7 – x + 2 ...[Transposing x to LHS]
⇒ 3x = 2 – 7 ...[Transposing 7 to RHS]
⇒ 3x = –5
⇒ x = `-5/3` ...[Dividing both sides by 3]
Which is neither a positive fraction nor an integer.
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संबंधित प्रश्न
Solve the following equations.
`(2b)/3 - 5 = 3`
Solve the following equations.
3 (n − 5) = 21
Solve the following equations.
3 (n - 5) = -21
Solve: – 2(x + 3) = 8.
If k + 7 = 16, then the value of 8k – 72 is ______.
The equation having – 3 as a solution is ______.
______ is the solution of 3x + 10 = 7.
x + 7 = 10 has the solution ______.
5 is the solution of the equation 3x + 2 = 17.
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 |
