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 135 black, 70 white and 80 red wires. How many of each cable were made?

A) 5 cable A
18 cable B
25 cable C
B) 58 cable A
30 cable B
22 cable C
C) 30 cable A
5 cable B
25 cable C
D) 15 cable A
20 cable B
15 cable