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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