In each of the following cases, find a and b.

(2a + b, a – b) = (8, 3)

Given: (2a + b, a – b) = (8, 3)

To find: the value of a and b

Explanation: Now given the ordered pairs are equal, so corresponding elements will be equal, i.e.,

2a + b = 8 and a-b = 3

Now a-b = 3

⇒a = 3 + b

Substituting the value of a in the equation 2a + b = 8, we get

2(3 + b) + b = 8

⇒ 6 + 2b + b = 8

⇒ 3b = 8-6 = 2

Now substituting the value of b in equation (a-b = 3), we get

Hence the value of a and b are and respectively