You're a manager in a company that produces rocket ships. Machine \text{A}Astart text, A, end text and Machine \text{B}Bstart text, B, end text both produce cockpits and propulsion systems. Machine \text{A}Astart text, A, end text and Machine \text{B}Bstart text, B, end text produce cockpits at the same rate, and they produce propulsion systems at the same rate. Machine \text{A}Astart text, A, end text ran for 262626 hours and produced 444 cockpits and 666 propulsion systems. Machine \text{B}Bstart text, B, end text ran for 565656 hours and produced 888 cockpits and 121212 propulsion systems. We use a system of linear equations in two variables.
Can we solve for a unique amount of time that it takes each machine to produce a cockpit and to produce a propulsion system?