Write a System of Equations That Will Solve the Problem $x + y = 12 , x = y + 2$

Multiple Choice

Write a system of equations that will solve the problem. It is not necessary to solve the problem. Renee cuts a 12-meter hose into two lengths. One piece (x) is 2 meters longer than the other (y) . What is the length of each piece?

A) $x + y = 12 , x = y + 2$
B) $x + y = 12 , y = x + 2$
C) x - y = 12, x = y + 2
D) y - x = 12, y = x - 2
E) x + y = 12, x = y - 2