Question

Find the value of 'a' and 'b' if
a. (a + 2,5 + b) = (1, 6)
b. (2a + b, a - 2b) = (7, 6)

Answer 1

a. Given, two ordered pairs are equal.
∴ a + 2 = 1 and 5 + b = 6
∴ a = -1 an b = 1
b. Given, two ordered pairs are equal.
∴ 2a + b = 7   .....(1)
a - 2b = 6       .....(2)
On multiplying equation (1) with 2, we get:
4a + 2b = 14  .....(3)
Add equation (2) and (3),
         a - 2b = 6
(+) 4a + 2b = 6
             5a = 20
∴ a = 4
Substituting a = 4 in equation (1), we get:
2(4) + b = 7
∴ b = -1
∴ a = 4 and b = -1.