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Question

9.Which of the given values of x and y make the following pair of matrices equal25y+1 2-3x」,L8x=-y=7(A)2(B)Not possible to find23-2y=3(C) y=7,x=(D)x=-,33

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Solution

The correct answer is (B).

Consider the matrix given as,

[ 3x+7 5 y+1 23x ]=[ 0 y2 8 4 ]

Since the given matrices are equal, their corresponding elements will be also equal.

3x+7=0 (1)

5=y2 (2)

y+1=8 (3)

23x=4 (4)

Solving equation (1),

3x+7=0 3x=7 x= 7 3

Solving equation (2),

5=y2 5+2=y 7=y

Solving equation (3),

y+1=8 y=81 y=7

Solving equation (4),

23x=4 3x=42 3x=2 x= 2 3

From the above calculation, we get different values of x , which is not possible.

Thus, it is not possible to find the values of x and y that would make the given matrices equal.

Thus, the correct answer is option (B).


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