Q:

1. A 100-foot rope is cut into 2 pieces (a and b). Piece a is 2ft less than 5 times the length of piece b. (a) What is the system that models this situation? (b) Solve the system of equationsPLEASE HELP I WILL GIVE YOU 100PTS IF YOU HELP ME AND ANSWER THIS QUESTION

Accepted Solution

A:
Answer:Represent the longer piece of the rope as (18 + x) and the shorter piece as x. The rope is 100 feet long, so:(18 + x) + x = 100      Set up equation18 + x + x = 100        Arrange like terms18 + 2x = 100            Combine like terms2x = 82                     Subtract 18 from both sidesx = 41                       Divide both sides by 2Longer rope length: 12+ 31 =43 feetShorter rope length: 57 feetCheck: 59 + 41 = 100 feetStep-by-step explanation: