The term "max value" refers to the highest possible numerical result that can be obtained by solving a linear system of equations. It represents the optimal solution to the given system.
To determine the max value of x+y in a linear system, you must first solve the system of equations to obtain the values of x and y. Once you have these values, simply add them together to find the max value of x+y.
Yes, the max value of x+y can be negative in a linear system. This occurs when the values of x and y that solve the system are both negative.
No, if there is no solution to a linear system, there is no max value of x+y. This is because the system cannot be solved and therefore, there is no optimal solution to determine the max value of x+y.
Yes, there are several methods for finding the max value of x+y in a linear system. Some common methods include substitution, elimination, and graphing. The most efficient method may vary depending on the specific system of equations.