Solve the system of logarithmic equations given below.

Determine whether the given ordered pairs satisfy the corresponding equations or not.

(i) (3, -2), 3x + 2y = 5

(ii) (3, -2), 7x + 5y = 11

Provide all solutions for the given nonlinear system of equations, including nonreal complex components. 

x² + y² = 65

3x² - y² = -1

Find the given matrices (if possible):
a. PQ
b. QP

Perform the following matrix operation: A - B

Perform the following matrix operation: A - B

Solve the following system by using Cramer's Rule:

Evaluate the determinant of the 3x3 matrix:

Consider the given system of inequalities and indicate if the inequality has a solution by graphing it. 

x + y ≥ 1

x - y ≤ 1

Draw the graph for the given inequality.

y > 3^x + 2