You're a manager in a company that produces rocket ships. Machine \text{A}A and Machine \text{B}B both produce cockpits and propulsion systems. Machine \text{A}A and Machine \text{B}B produce cockpits at the same rate, and they produce propulsion systems at the same rate. Machine \text{A}A ran for 2626 hours and produced 44 cockpits and 66 propulsion systems. Machine \text{B}B ran for 5656 hours and produced 88 cockpits and 1212 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?
Answers
Answer:
Let c represents the time spends in producing a cockpit and p represents the time spends in producing a propulsion system.
Thus, According to the question,
Machine A ran for 26 hours and produced 4 cockpits and 6 propulsion systems.
⇒ 4 c + 6 p = 26
And, Machine B ran for 56 hours and produced 8 cockpits and 12 propulsion systems,
⇒ 8 c + 12 p = 56
Hence, the system of equations that will be used to find a unique amount of time that it takes each machine to produce a cockpit and to produce a propulsion system is,
4 c + 6 p = 26, 8 c + 12 p = 56
But both lines are parallel,
Hence there is no solution of this system,
Therefore, we can not solve for a unique amount of time that it takes each machine to produce a cockpit and to produce a propulsion system.
Answer:
Step-by-step explanation:help please i don’t understand