Use a Graphing Calculator and the Method of Matrix Inverses $58 \mathrm {~A} ; 30 \mathrm {~B} ; 22 \mathrm { C }$

Use a graphing calculator and the method of matrix inverses to Give five decimal places, if necessary.
-A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. The company used 95 black, 100 white and 90 red wires. How many of each type of cable were made?

A) $58 \mathrm {~A} ; 30 \mathrm {~B} ; 22 \mathrm { C }$
B) $30 \mathrm {~A} ; 5 \mathrm {~B} ; 25 \mathrm { C }$
C) $5 \mathrm {~A} ; 30 \mathrm {~B} ; 25 \mathrm { C }$
D) $5 \mathrm {~A} ; 18 \mathrm {~B} ; 25 \mathrm { C }$