Question

Which matrix represents the system of equations?

3x + y = -9

x + 5y = 16

A. [3 0 ]
[0 5 ]

B. [3 1]
[1 5]

C. [3 0| -9]
[0 5| 16]

D. [3 1| -9]
[ 1 5| 16]

Answer 1

Point form (76,-12)
X=76,y=-12

Answer 2

9514 1404 393

Answer:

D. [3 1 | -9]

[ 1 5 | 16]

Explanation:

The matrix of B represents the coefficients of the variables. It would generally be part of a matrix equation:

`\left[\begin{array}{cc}3&1\\1&5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}-9\\16\end{array}\right]`

However, the entire system of equations can be represented by the augmented matrix ...

`\left[\begin{array}cc3&1&-9\\1&5&16\end{array}\right] \qquad\textbf{matches D.}`