Find values of x and y, if any, that will make the matrices equal. $$\left[ \begin{array} { l l }
x & y \
3 & 9
\end{array} \right] = \left[ \begin{array} { l l }
2 & 8 \
3 & 9
\end{array} \right]$$
A) $x = 2 , y = 8$
B) $x = - 2 , y = 8$
C) $x = 8 , y = 2$
D) $x = - 2 , y = - 8$
E) no solution

Question

Find values of x and y, if any, that will make the matrices equal. $$\left[ \begin{array} { l l } 
x & y \
3 & 9
\end{array} \right] = \left[ \begin{array} { l l } 
2 & 8 \
3 & 9
\end{array} \right]$$
A) $x = 2 , y = 8$
B) $x = - 2 , y = 8$
C) $x = 8 , y = 2$
D) $x = - 2 , y = - 8$
E) no solution

Quizplus · Accepted Answer

We can see that the right-hand side matrix and the left-hand side matrix have the same $2^{nd}$ row. Thus, we know that $3$ and $9$ are correct for $x$ and $y$.

Now, we want the first row to be the same in both matrices. Thus, we need $x=2$ to match the $2$ on the top left of the second matrix, and $y=8$ to match the $8$ on the top right of the second matrix.

Therefore, $x=2$ and $y=8$ satisfy the equation, so the answer is choice $	extbf{(A)}.$

Find Values of X and Y, If Any, That Will [xy39]=[2839]\left[ \begin{array} { l l } x & y \\3 & 9\end{array} \right] = \left[ \begin{array} { l l } 2 & 8 \\3 & 9\end{array} \right][x3​y9​]=[23​89​]

Find Values of X and Y, If Any, That Will $\left[ \begin{array} { l l } x & y \\3 & 9\end{array} \right] = \left[ \begin{array} { l l } 2 & 8 \\3 & 9\end{array} \right]$