Q. 85.0( 7 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.


3x + 4y = 2 …… (1)


and x – 2y = 4 …… (2)


and a + b = 5 ……(3)


2a – b = – 5 ……(4)


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


3x + 4y + 2x – 4y = 2 + 8


5x = 10


x = 2


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


3×2 + 4y = 2


6 + 4y = 2


4y = 2 – 6


4y = – 4


y = – 1


Adding equation (3) and (4)


a + b + 2a – b = 5 + ( – 5)


3a = 5 – 5 = 0


a = 0


Now, Putting the value of a in equation (3)


0 + b = 5


b = 5


a = 0, b = 5, x = 2 and y = – 1


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