Math Snap

STEP 1

1. The system of linear equations is given in the standard form $ax + by = c$.
2. We need to extract coefficients of $x$ and $y$ from each equation to form the coefficient matrix.

STEP 2

1. Rearrange each equation to the standard form $ax + by = c$.
2. Extract coefficients of $x$ and $y$ to form the coefficient matrix $D$.

STEP 3

Rearrange the first equation $2x + 9 = -4y$ to the standard form:
$$2x + 4y = -9$$ This is done by adding $4y$ to both sides and subtracting 9 from both sides.

STEP 4

The second equation is already in the standard form:
$$-x - y = 2$$ No rearrangement is needed.

STEP 5

Extract the coefficients of $x$ and $y$ from both equations:
From the first equation $2x + 4y = -9$, the coefficients are $2$ and $4$.
From the second equation $-x - y = 2$, the coefficients are $-1$ and $-1$.

Form the coefficient matrix $D$ using the extracted coefficients:
$$D = \begin{bmatrix} 2 & 4 \\ -1 & -1 \end{bmatrix}$$ This matrix represents the coefficients of $x$ and $y$ in the system of equations.