Exercises 57–59 will help you prepare for the material covered in the next section. Solve: $\(\begin{cases}\) A + B = 3 \\ 2A - 2B + C = 17 \\ 4A - 2C = 14 \(\end{cases}\)$

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. 3x+y≤6, 2x−y≤−1, x>−2, y<4

Write the given sentences as a system of inequalities in two variables. Then graph the system. The sum of the x-variable and the y-variable is at most 4. The y-variable added to the product of 3 and the x-variable does not exceed 6.

In Exercises 63–64, write each sentence as an inequality in two variables. Then graph the inequality. The y-variable is at least 4 more than the product of -2 and the x-variable.

Graph the solution set of each system of inequalities or indicate that the system has no solution.

$\(\begin{cases}\) x \(\geq\) 0 \\ y \(\geq\) 0 \\ 2x + 5y < 10 \\ 3x + 4y \(\leq\) 12 \(\end{cases}\)$

In Exercises 57–59, graph the region determined by the constraints. Then find the maximum value of the given objective function, subject to the constraints. This is a piecewise function. Refer to the textbook.

Exercises 57–59 will help you prepare for the material covered in the next section. Add: (5x−3)/(x²+1) + 2x/(x²+1)².