KnowledgeBoat Logo
|

Mathematics

If (2x - 1, y + 5) = (3, 10), the values of x and y are :

  1. x = 4, y = 5

  2. x = 8, y = 5

  3. x = 2, y = 5

  4. x = 1, y = 5

Coordinate Geometry

6 Likes

Answer

Since two ordered pairs are equal, their first components are equal and their second components are separately equal.

(2x - 1, y + 5) = (3, 10)

⇒ 2x - 1 = 3 and y + 5 = 10

⇒ 2x = 3 + 1 and y = 10 - 5

⇒ 2x = 4 and y = 5

⇒ x = 42\dfrac{4}{2} and y = 5

⇒ x = 2 and y = 5

Hence, option 3 is the correct option.

Answered By

2 Likes


Related Questions