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?