#### Question

Which of the given values of *x* and *y* make the following pair of matrices equal

`[(3x+7, 5),(y+1, 2-3x)] = [(0,y-2),(8,4)]`

**(A)** `x= (-1)/3, y = 7`

**(B)** Not possible to find

**(C)** `y = 7, x = (-2)/3`

**(D)** `x = (-1)/3, y = (-2)/3`

#### Solution

The correct answer is B.

It is given that

`[(3x+7,5),(y+1, 2-3x)]= [(0,y-2), (8,4)]`

Equating the corresponding elements, we get:

`3x + 7 = 0 => x = -7/3`

`5 = y - 2 => y = 7`

`y +1 = 8 => y = 7`

`2 - 3x = 4 => x = - 2/3`

We find that on comparing the corresponding elements of the two matrices, we get two different values of *x*, which is not possible.

Hence, it is not possible to find the values of *x* and *y* for which the given matrices are equal.

Is there an error in this question or solution?

Solution Which of the Given Values Of X And Y Make the Following Pair of Matrices Equal [(3x+7, 5),(Y+1, 2-3x)] = [(0,Y-2),(8,4)] Concept: Operations on Matrices - Multiplication of Matrices.