Suppose I have two equations $$y = (x\oplus a)+b \\ x = (y\oplus c)+d$$ All numbers are in base 10.
$\oplus$ is the XOR operation for binary numbers.
How do I solve such equations manually, or is there some Mathematica function I could use? I prefer not using matrices.
I did try using a C++ program to brute force it within a range, but it is not an ideal solution.