Use Inverses to Solve Matrix Equations
-$$9 x + 8 y = 86$$
$$4 y = 16$$
A)$$\left[ \begin{array} { l l }
9 & 8 \
0 & 4
\end{array} \right] \left[ \begin{array} { l }
x \
y
\end{array} \right] = \left[ \begin{array} { l }
86 \
16
\end{array} \right]

B)
\quad \left[ \begin{array} { c c }
9 & 8 \
4 & 16
\end{array} \right] \left[ \begin{array} { l }
x \
y
\end{array} \right] = \left[ \begin{array} { l }
86 \
0
\end{array} \right] \quad
C)
\left[ \begin{array} { l l }
4 & 0 \
9 & 8
\end{array} \right] \left[ \begin{array} { l }
x \
y
\end{array} \right] = \left[ \begin{array} { r }
16 \
8
\end{array} \right]

D)
\quad \left[ \begin{array} { l l }
86 & 8 \
16 & 0
\end{array} \right] \left[ \begin{array} { l }
x \
y
\end{array} \right] = \left[ \begin{array} { l }
9 \
4
\end{array} \right]$$

Question

Use Inverses to Solve Matrix Equations
-$$9 x + 8 y = 86$$
$$4 y = 16$$
A)$$\left[ \begin{array} { l l } 
9 & 8 \
0 & 4
\end{array} \right] \left[ \begin{array} { l } 
x \
y
\end{array} \right] = \left[ \begin{array} { l } 
86 \
16
\end{array} \right]

B)
 \quad \left[ \begin{array} { c c } 
9 & 8 \
4 & 16
\end{array} \right] \left[ \begin{array} { l } 
x \
y
\end{array} \right] = \left[ \begin{array} { l } 
86 \
0
\end{array} \right] \quad
C)
 \left[ \begin{array} { l l } 
4 & 0 \
9 & 8
\end{array} \right] \left[ \begin{array} { l } 
x \
y
\end{array} \right] = \left[ \begin{array} { r } 
16 \
8
\end{array} \right]

D)
 \quad \left[ \begin{array} { l l } 
86 & 8 \
16 & 0
\end{array} \right] \left[ \begin{array} { l } 
x \
y
\end{array} \right] = \left[ \begin{array} { l } 
9 \
4
\end{array} \right]$$

Quizplus · Accepted Answer

The correct matrix equation is formed by aligning the coefficients of $x$ and $y$ from the given equations into a matrix, aligning the variables $x$ and $y$ into a column matrix, and setting them equal to the column matrix of the constants from the equations. The first equation, $9x + 8y = 86$, and the second equation, $4y = 16$, correctly correspond to choice A, where the matrix of coefficients is $\left[ \begin{array} { l l } 9 & 8 \ 0 & 4 \end{array} \right]$, the matrix of variables is $\left[ \begin{array} { l } x \ y \end{array} \right]$, and the matrix of constants is $\left[ \begin{array} { l } 86 \ 16 \end{array} \right]$.

Use Inverses to Solve Matrix Equations - 9x+8y=869 x + 8 y = 869x+8y=86

Use Inverses to Solve Matrix Equations
- $9 x + 8 y = 86$