Match List-I with List-II.
| List-I | List-II | ||
|---|---|---|---|
| (A) | \(2x+5=15\) | (I) | \(x=-10\) |
| (B) | \(x+3=-7\) | (II) | \(x=6\) |
| (C) | \(2x-10=8\) | (III) | \(x=5\) |
| (D) | \(x+3=2x-3\) | (IV) | \(x=9\) |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → A-III, B-I, C-IV, D-II
Each equation is linear, so it is solved by bringing the \(x\) terms to one side and the numbers to the other.
(A) \(2x+5=15\) — this matches (III) \(x=5\). \(2x=10\), so \(x=5\).
(B) \(x+3=-7\) — this matches (I) \(x=-10\). \(x=-7-3=-10\).
(C) \(2x-10=8\) — this matches (IV) \(x=9\). \(2x=18\), so \(x=9\).
(D) \(x+3=2x-3\) — this matches (II) \(x=6\). \(3+3=2x-x\), so \(x=6\).