Q. 325.0( 2 Votes )

Find the value of

Answer :

We are given that,


We need to find the value of x and y.


Taking Left Hand Side (LHS) matrix of the equation,



Multiplying the scalar, 2 by each element of the matrix ,




Adding the corresponding elements,




Equate LHS to Right Hand Side (RHS) equation,



We know that if we have,



This implies,


a11 = b11, a12 = b12, a21 = b21 and a22 = b22


Similarly, the corresponding elements of two matrices are equal,


2 + y = 5 …(i)


6 = 6


1 = 1


2x + 2 = 8 …(ii)


We have equations (i) and (ii) to solve for x and y.


From equation (i),


2 + y = 5


y = 5 – 2


y = 3


From equation (ii),


2x + 2 = 8


2x = 8 – 2


2x = 6



x = 3


Thus, we have x = 3 and y = 3.


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