Q. 95.0( 3 Votes )

Find x, y, a and

Answer :

Given two matrices are equal.


We know that if two matrices are equal then the elements of each matrices are also equal.


2a + b = 4 ……(1)


And a – 2b = – 3 …… (2)


And 5c – d = 11 …… (3)


4c + 3d = 24 …… (4)


Multiplying equation (1) by 2 and adding to equation (2)


4a + 2b + a – 2b = 8 – 3


5a = 5


a = 1


Now, Putting the value of a in equation (1)


2×1 + b = 4


2 + b = 4


b = 4 – 2


b = 2


Multiplying equation (3) by 3 and adding to equation (4)


15c – 3d + 4c + 3d = 33 + 24


19c = 57


c = 3


Now, Putting the value of c in equation (4)


4×3 + 3d = 24


12 + 3d = 24


3d = 24 – 12


3d = 12


d = 4


a = 1, b = 2, c = 3 and d = 4


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