A pen and a pencil together cost $5.10. The pen cost $5 more than the pencil. How much does each cost?​

Answer:The pen costs $5.05, and the pencil costs $0.05 Step-by-step explanation:First, we define 2 variables for the two prices.Let x = price of the pen.Let y = price of the pencil.Now we use the given information to write two equations."A pen and a pencil together cost $5.10. "x + y = 5.1"The pen cost $5 more than the pencil. "y = x + 5The system of equations is:x + y = 5.1y = x + 5Since the second equation is already solved for y, we will use the substitution method to solve the system of equations.Substitute y of the first equation by x + 5.x + x + 5 = 5.12x + 5 = 5.12x = 0.1x = 0.05   (price of the pencil)Now substitute 0.05 for x in the second equation.y = 0.05 + 5y = 5.05     (price of the pen)The pen costs $5.05, and the pencil costs $0.05