Answer : Since, the ordered pairs are equal, the corresponding elements are equal.
∴, a + 3 = 5 …(i) and b – 2 = 1 …(ii)
Solving eq. (i), we get a + 3 = 5
⇒ a = 5 – 3
⇒ a = 2
Solving eq. (ii), we get b – 2 = 1
⇒ b = 1 + 2
⇒ b = 3
Hence, the value of a = 2 and b = 3.
- Since, the ordered pairs are equal, the corresponding elements are
∴, a + b = 4 …(i) and 2b – 3 = -5 …(ii) Solving eq. (ii), we get
2b – 3 = -5
⇒ 2b = -5 + 3
⇒ 2b = -2
⇒ b = -1
Putting the value of b = – 1 in eq. (i), we get a + (-1) = 4
⇒ a – 1 = 4
⇒ a = 4 + 1
⇒ a = 5
Hence, the value of a = 5 and b = -1.