Final answer:
The ordered pair that solves the system of equations can be found using the substitution method. Solve one equation for one variable, substitute into the other equation, and then solve for the remaining variable.
Step-by-step explanation:
To find the ordered pair that satisfies the system of equations 5x + 9y = 16 and x - 2y = 4, we can use the method of substitution or elimination. Let's use the substitution method in this case. First, solve the second equation for x to get x = 2y + 4. Substitute this expression for x in the first equation:
5(2y + 4) + 9y = 16
Expand and simplify this equation to solve for y. After finding y, substitute it back into x = 2y + 4 to find x. The solution (x, y) is the intersection point of the two lines represented by the equations, which is the ordered pair we are looking for.