Use any suitable method to solve the given system:

Consider the given system of equations and solve using the addition method:

Find out whether the given ordered pair satisfies the system of equations shown.

 (-2, 6)

Solve the following system of equations with two variables and determine if it is an inconsistent system or has infinitely many solutions. Write the solution set in terms of x if it has infinitely many solutions.

A pharmacy sells Azithromycin for \( 10 per tablet and Amoxicillin for \) 15 per tablet. The pharmacy receives an order for 50 tablets, but the customer forgot to specify how many of each item to send. If the pharmacy receives $ 650 for the order, how many tablets of Azithromycin and Amoxicillin should they send?

Solve the system of logarithmic equations given below.

Find two numbers using a system of nonlinear equations in two variables if they sum up to 64 and yield a product of 295 when multiplied.