Write the equations in standard form, then represent the system using an augmented matrix.
$3x+5y-9=0$
$8x=-4y+3$

• A.
• B.
• C.
• D.

Answer: (C)

Verified step by step guidance

1. Start by writing the given equations in standard form. The standard form of a linear equation is Ax + By = C.
2. For the first equation, 3x + 5y - 9 = 0, rearrange it to get 3x + 5y = 9.
3. For the second equation, 8x = -4y + 3, rearrange it to get 8x + 4y = 3 by adding 4y to both sides.
4. Now, represent the system of equations using an augmented matrix. The coefficients of x and y, along with the constants, form the matrix.
5. The augmented matrix for the system is: \[ \begin{bmatrix} 3 & 5 & | & 9 \\ 8 & 4 & | & 3 \end{bmatrix} \].