In Exercises 1–4, determine whether the given ordered pair is a solution of the system.(2, 5)2x + 3y = 17x + 4y = 16

An ordered pair consists of two elements, typically represented as (x, y), where 'x' is the first element and 'y' is the second. In the context of a system of equations, an ordered pair represents a potential solution, indicating the values of the variables that may satisfy both equations simultaneously.

A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously. In this case, we are checking if the ordered pair (2, 5) satisfies both equations given in the problem.

The substitution method involves replacing one variable with an expression derived from another equation in the system. To determine if (2, 5) is a solution, we substitute x = 2 and y = 5 into each equation to see if both equations hold true, confirming whether the ordered pair is indeed a solution.