An inventory manager is using a system of two equations to track the stock levels of two different products, $x$ and $y$. The equations are:

${}11x = -9y - 5$ ${}7x + 5y = -1$

Which of the following augmented matrices correctly represents this system for use in a matrix solver?

A project estimator is preparing a system of linear equations to determine the costs of labor and materials. To solve this system using a matrix-based software, the estimator must first map the components of the equations to an augmented matrix. Match each part of a system of equations (such as ${}11x + 9y = -5$) with its corresponding representation in the augmented matrix.

A manufacturing supervisor is organizing production equations for a matrix solver. To correctly represent the equation ${}11x = -9y - 5$ in an augmented matrix, the supervisor must first move the ${}-9y$ term to the left side of the equal sign to ensure the equation is in standard form.

A logistics coordinator is training a new team member to enter inventory constraints into a matrix-based optimization program. To correctly input systems such as ${}11x = -9y - 5$ and ${}7x + 5y = -1$, the team member must follow a specific sequence to construct an augmented matrix. Arrange the following steps in the correct order to complete this process.

A financial analyst is preparing departmental budget equations to be entered into a matrix-solving software. One of the equations provided is ${}11x = -9y - 5$. Recalling the procedure for constructing an augmented matrix, the analyst must first rewrite the equation in standard form. The numerical coefficient for $y$ that will be entered into the augmented matrix is ____.