A logistics coordinator is organizing a system of linear equations to calculate delivery costs. Before she can correctly formulate an augmented matrix from the system, she must address an equation written as ${}2x = -5y - 3$. According to the standard procedure, what is the mandatory first step for this equation?

A business analyst is converting a system of three budget equations into an augmented matrix to solve for three unknown costs ($x, y$, and $z$). Match each linear equation from the system with its corresponding row of numbers in the resulting augmented matrix.

A warehouse manager is converting a system of linear equations into an augmented matrix to track inventory costs. To ensure that the variables are correctly aligned in their respective columns, any equation not already in standard form, such as ${}2x = -5y - 3$, must first be rewritten in standard form (e.g., ${}2x + 5y = -3$) before the coefficients and constants are extracted for the matrix.

A budget analyst is organizing a system of linear equations into an augmented matrix for a quarterly financial report. The equations provided are ${}3x + 8y = -3$ and ${}2x = -5y - 3$. To ensure the matrix is formatted correctly for a solver, the analyst must follow a specific sequence of steps. Arrange the following steps in the correct chronological order.

Formulating the Second Row of an Invoice Matrix