-
If the graph of the equations 3x + 2y = 18 and 3y – 2x = 1 intersect at the point (p, q), then the value of p + q is
-
- 7
- 6
- 5
- 4
- 7
Correct Option: A
3x + 2y = 18 ...(i)
3y – 2x = 1 ...(ii)
By equation (i) × 2 + (ii) × 3 gives,
⇒ y = 3 Putting y = 3 in (ii)
3(3) – 2x = 1 ⇒ x = 4
∴ (p, q) = (4, 3) and hence, p + q = 7