Question

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 equations

Answer 1

Try this explanation/solution:

a) the system which describes this situation is:

`\left \{ {{a+b=100} \atop {a+2=5b}} \right.`

b) the solution of the system made up:

`\ => \ \left \{ {{a=83} \atop {b=15}} \right.`