Question

If `[(2"a"+"b", "a"-2"b"),(5"c" - "d", 4"c"+3"d")] = [(4, -3),(11, 24)]`, then value of a + b – c + 2d is:

Options

• 8

• 10

• 4

• –8

Answer 1

8

Explanation:

`[(2"a"+"b", "a"-2"b"),(5"c" - "d", 4"c"+3"d")] = [(4, -3),(11, 24)]`

2a + b = 4

a − 2b = −3

5c − d = 11

4c + 3d = 24

⇒ a = 1, b = 2, c = 3, d = 4

∴ a + b − c + 2d = 8