Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece (y) is 2 ft less than 3 times the length of the shorter piece (x). Choose the two equations that will create our system of equations for this story problem.

A) x - y = 18

B) y = 2 - 3x

C) x + y = 18

D) y = 3x - 2

The required equations are:

C) x + y = 18

D) y = 3x - 2

Step-by-step explanation:

Let x be the length of shorter piece and y be the length of larger piece

It is given that the total length is 18 ft which gives us our first equation

Now it is also given that

"3 times the length of the shorter piece (x)"

"2 ft less than 3 times the length of the shorter piece (x)"

Second equation will be:

Hence, the required equations are:

C) x + y = 18

D) y = 3x - 2