Solve each system for x and y, expressing either value in terms of a or b, if necessary. Assume that a ≠ 0 and b ≠ 0. For the linear function f(x) = mx + b, f(−2) = 11 and ƒ(3) = -9. Find m and b.

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

$\(\begin{cases}\)(x - 1)^2 + (y + 1)^2 < 25 \\(x - 1)^2 + (y + 1)^2 \(\geq\) 16\(\end{cases}\)$

In Exercises 49–50, solve each system for x and y, expressing either value in terms of a or b, if necessary. Assume that a ≠ 0, b ≠ 0 5ax + 4y = 17 ax + 7y = 22

In Exercises 47–52, solve each system by the method of your choice. $\(\begin{cases}\]\frac{3}{x^2}\) + \(\frac{1}{y^2}\) = 7 \(\frac{5}{x^2}\) - \(\frac{2}{y^2}\) = -3\(\end{cases}\)$

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x²+y²≤1, y−x²>0

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Find the partial fraction decomposition for 1/x(x+1) and use the result to find the following sum:

In Exercises 47–52, solve each system by the method of your choice. $\(\begin{cases}\)-4x + y = 12 \(\y\) = x^3 + 3x^2\(\end{cases}\)$