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
The correct answer is (B).
Consider the matrix given as,
[ 3 x + 7 5 y + 1 2 − 3 x ] = [ 0 y − 2 8 4 ]
Since the given matrices are equal, their corresponding elements will be also equal.
3 x + 7 = 0 (1)
5 = y − 2 (2)
y + 1 = 8 (3)
2 − 3 x = 4 (4)
Solving equation (1),
3 x + 7 = 0 3 x = − 7 x = − 7 3
Solving equation (2),
5 = y − 2 5 + 2 = y 7 = y
Solving equation (3),
y + 1 = 8 y = 8 − 1 y = 7
Solving equation (4),
2 − 3 x = 4 − 3 x = 4 − 2 − 3 x = 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).
The correct answer is (B).
Consider the matrix given as,
Since the given matrices are equal, their corresponding elements will be also equal.
Solving equation (1),
Solving equation (2),
Solving equation (3),
Solving equation (4),
From the above calculation, we get different values of
Thus, it is not possible to find the values of
Thus, the correct answer is option (B).
