Step 1 :Let's denote the price of the cookbook as x and the price of the novel as y.
Step 2 :From the information given, we can form two equations: \(4x + 5y = 163\) and \(3x + 4y = 126\).
Step 3 :We can solve this system of equations to find the values of x and y.
Step 4 :The solution to the system of equations is {x: 22, y: 15}.
Step 5 :Final Answer: The price of the cookbook is \(\boxed{22}\) dollars and the price of the science fiction novel is \(\boxed{15}\) dollars.