Find values of x and y, if any, that will make the matrices equal. $$\left[ \begin{array} { l l }
x & y \
1 & 6
\end{array} \right] = \left[ \begin{array} { l l }
2 & 9 \
1 & 6
\end{array} \right]$$
A) $\quad x = - 2 , y = 9$
B) $\quad x = 2 , y = 9$
C) $\quad x = - 2 , y = - 9$
D) $\quad x = 9 , y = 2$
E) no solution

Question

Find values of x and y, if any, that will make the matrices equal. $$\left[ \begin{array} { l l } 
x & y \
1 & 6
\end{array} \right] = \left[ \begin{array} { l l } 
2 & 9 \
1 & 6
\end{array} \right]$$
A) $\quad x = - 2 , y = 9$
B) $\quad x = 2 , y = 9$
C) $\quad x = - 2 , y = - 9$
D) $\quad x = 9 , y = 2$
E) no solution

Quizplus · Accepted Answer

The two matrices will be equal if and only if their corresponding entries are equal. We can see that the entries in the second row are already equal, so we just need to make the entries in the first row equal. This gives us the system of equations:

$x=2$
$y=9$

The solution to this system is $x=2$ and $y=9$, so the correct answer is B.

Find Values of X and Y, If Any, That Will [xy16]=[2916]\left[ \begin{array} { l l } x & y \\1 & 6\end{array} \right] = \left[ \begin{array} { l l } 2 & 9 \\1 & 6\end{array} \right][x1​y6​]=[21​96​]

Find Values of X and Y, If Any, That Will $\left[ \begin{array} { l l } x & y \\1 & 6\end{array} \right] = \left[ \begin{array} { l l } 2 & 9 \\1 & 6\end{array} \right]$