Q. 14.0( 35 Votes )

Find the values o

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.


(ii) Since, the ordered pairs are equal, the corresponding elements are equal.


, 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.


(iii) Since the ordered pairs are equal, the corresponding elements are equal.


…(i)


…(ii)


Solving Eq. (i), we get





a = 5 – 3


a = 2


Solving eq. (ii), we get





b = 1


Hence, the value of a = 2 and b = 1.


(iv) Since, the ordered pairs are equal, the corresponding elements are equal.


, a – 2 = b – 1 …(i)


& 2b + 1 = a + 2 …(ii)


Solving eq. (i), we get


a – 2 = b – 1


a – b = -1 + 2


a – b = 1 … (iii)


Solving eq. (ii), we get


2b + 1 = a + 2


2b – a = 2 – 1


-a + 2b = 1 …(iv)


Adding eq. (iii) and (iv), we get


a – b + (-a) + 2b = 1 + 1


a – b – a + 2b = 2


b = 2


Putting the value of b = 2 in eq. (iii), we get


a – 2 = 1


a = 1 + 2


a = 3


Hence, the value of a = 3 and b = 2.


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