The correct system of linear equations to find two numbers whose difference is 17 and sum is 23 is x - y = 17 and x + y = 23 (Option A).
To determine the two numbers, x and y, given that their difference is 17 and their sum is 23, we can set up the following system of linear equations:
x - y = 17
x + y = 23
This can be rewritten as Option A: x - y = 17 and x + y = 23.
These equations can be solved using methods such as substitution, elimination, or graphical representation.
Once solved, they will yield the values of x and y.