Linear, simultaneous equation theory
(Solved, no more help needed 😁)
Not even my old maths teacher understood what I’m on about, hopefully some people here can.
I had a taster session for a sixth form in maths, AQA A-level, and my teacher made us do some basic sequences. She made us all write down a sequence and create our own, where the difference is always the same number. I chose 7 as the first number as 4 as the difference. I got the sequence 7, 11, 15, 19, 23, 27 (it’s wrong in the photo I know, that’s because I rushed to note it at the end). And we formed 2 simultaneous equations from this sequence. For me it was 7x+11y=15 and 19x+23y=27.
When everyone solved their equations, we all got (-1,2)!!!! And she didn’t really explain it, and told us to go research it but I have no clue on how to explain it. She said to research the proof on why it does it. Is anyone able to provide the name of the theory or maybe a website that helps me learn the proof?? I’m not waiting 9 weeks 😔
Thanks if anyone does!!!
Edit: the whole class created their own sequences, everyone got (-1,2).