Find $x$ and $y$.
$$\left[ \begin{array} { c c c }
x + 3 & 6 & 4 y \
5 & 2 x & - 1 \
8 & y - 9 & 2
\end{array} \right] = \left[ \begin{array} { c c c }
9 x + 19 & 6 & - 16 \
5 & - 4 & - 1 \
8 & - 13 & 2
\end{array} \right]$$
A) $x = - 2 , y = - 4$
B) $x = - 2 , y = - 5$
C) $x = - 1 , y = - 5$
D) $x = - 4 , y = - 1$
E) no solution

Question

Find $x$ and $y$.
$$\left[ \begin{array} { c c c } 
x + 3 & 6 & 4 y \
5 & 2 x & - 1 \
8 & y - 9 & 2
\end{array} \right] = \left[ \begin{array} { c c c } 
9 x + 19 & 6 & - 16 \
5 & - 4 & - 1 \
8 & - 13 & 2
\end{array} \right]$$
A) $x = - 2 , y = - 4$
B) $x = - 2 , y = - 5$
C) $x = - 1 , y = - 5$
D) $x = - 4 , y = - 1$
E) no solution

Quizplus · Accepted Answer

The first row of the left-hand side matrix is equal to the first row of the right-hand side matrix, so we have:$$x + 3 = 9x + 19$$$$8x = 16$$$$x = -2$$The third row of the left-hand side matrix is equal to the third row of the right-hand side matrix, so we have:$$y - 9 = -13$$$$y = -4$$Therefore, the solution is $x = -2$ and $y = -4$.

Find xxx And yyy A) x=−2,y=−4x = - 2 , y = - 4x=−2,y=−4

Find $x$ And $y$ A) $x = - 2 , y = - 4$