A 100-foot cable is cut into two pieces. The first piece is 18 feet longer than the second. How long is each piece of cable?

Question

For this problem, identify your variables (define), set up a system of equations (2 equations, 2 variables), and then solve the system. State your answer in terms of the problem. Example:

The sum of two numbers is 92. Their difference is 20. Find the two numbers.

x = first number

y = second number

{x + y = 92

{x - y = 20

Answer 1

x + x + 18 = 100

Can you solve for x and answer?