Letter Addition
I am given xyz+ab=cdef and xyz-ab=bga
How do I solve this?
Solve it in term of what?
To solve this problem, we need to isolate the variables. Let's examine the two given equations:
1. xyz + ab = cdef
2. xyz - ab = bga
To eliminate the variable 'ab', we can subtract the second equation from the first equation:
(xyz + ab) - (xyz - ab) = cdef - bga
This simplifies to:
2ab = cdef - bga
Now, we can plug this value back into either of the original equations to solve for the remaining variables. Let's choose the first equation:
xyz + ab = cdef
Substituting 2ab in place of ab:
xyz + 2ab = cdef
Now, you can solve for 'xyz' by subtracting 2ab from both sides:
xyz = cdef - 2ab
This is the solution for 'xyz' in terms of 'ab', 'cdef', and 'bga'.