Question

# Which of the values of x and y makes the following matrices equal:$\left[ \begin{gathered} 3x + 7\,\,\,\,\,\,5 \\ y + 1\,\,\,\,\,2 - 3x \\ \end{gathered} \right] = \left[ \begin{gathered} 0\,\,\,\,\,\,y - 2 \\ 8\,\,\,\,\,\,\,\,\,\,4 \\ \end{gathered} \right]$A. $x = \dfrac{{ - 1}}{3}$, $y = 7$B. Not possible to findC. y = 7, $x = \dfrac{{ - 2}}{3}$D. $x = \dfrac{{ - 1}}{3},y = \dfrac{{ - 2}}{3}$

Hint: In order to solve this problem we need to know if two matrices A and B are said to be equal if A and B have the same order and their corresponding elements are equal. Corresponding elements of the matrix A and the matrix B are equal, that is the entries of the matrix A and the matrix B in the same position are equal. Knowing this will solve your problem.

$\left[ \begin{gathered} 3x + 7\,\,\,\,\,\,5 \\ y + 1\,\,\,\,\,2 - 3x \\ \end{gathered} \right] = \left[ \begin{gathered} 0\,\,\,\,\,\,y - 2 \\ 8\,\,\,\,\,\,\,\,\,\,4 \\ \end{gathered} \right]$
So, the value of x is $\dfrac{{ - 7}}{3}$.
And here the value of x is $\dfrac{{ - 2}}{3}$.