Write a System of Equations and Use the Inverse of the Coefficient

Multiple Choice

Write a system of equations and use the inverse of the coefficient matrix to solve the system.
-A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. Cable B requires 1 black, 2 white, and 1 red wires. Cable $C$ requires 2 black, 1 white, and 2 red wires. They used 100 black, 110 white and 80 red wires. How many of each cable were made?

A) 10 cable A
83 cable B
20 cable C
B) 20 cable A
20 cable B
10 cable C
C) 20 cable A
20 cable B
83 cable C
D) 20 cable A
93 cable B
10 cable C