### Home > CCA2 > Chapter 1 > Lesson 1.2.2 > Problem1-87

1-87.

Write and solve an equation or a system of equations to help you solve the following problem.

A cable $84$ meters long is cut into two pieces so that one piece is $18$ meters longer than the other. Find the length of each piece of cable.

Let $L=$ length of the longer piece, $S=$ length of the shorter piece.

Write an equation for, "A cable $84$ meters long is cut into two pieces."

Write an equation for, "One piece is $18$ meters longer than the other."

Solve the system of equations.

The shorter is $33$ meters, and the longer is $51$ meters.