Please retype this so we have a chance of understanding what is meant
I am guessing:
[2x, 0, 2]' + [-2, 0, 12]' + [0, 2y, -5y]' = [10, 6, 2x+12-5y]'
Rewrite this as a set of equations, one for each component:
Now solve this system (if it has a soution that is)