1. **State the problem:** We need to write a system of linear equations to represent the purchase of inkjet printers, LCD monitors, and memory chips. 2. **Define variables:** Let $x$ = number of inkjet printers, $y$ = number of LCD monitors, $z$ = number of memory chips. 3. **Write equations based on the problem:** - Total pieces of hardware purchased: $$x + y + z = 41$$ - Total cost of hardware: $$113x + 137y + 93z = 4457$$ - Memory chips are twice the number of LCD monitors: $$z = 2y$$ 4. **Check the options:** - Option A matches exactly these equations: $$113x + 137y + 93z = 4457$$ $$x + y + z = 41$$ $$2y = z$$ - Other options do not correctly represent the problem. **Final answer:** Option A is the correct system of equations.