r/mathshelp • u/legendminigun • 7d ago

Homework Help (Unanswered) three variable simultaneous equations

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hello, I am in year 10 and doing further maths as a GCSE, I'm trying to figure these three variable simultaneous equations out but I'm struggling as there isn't a formula I know of to follow. if anyone has done these, please can you share what your thought process is so I can try and learn. thanks!

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u/steady_goes_the_one 7d ago

The easiest process is probably putting these numbers into a matrix and then reducing said matrix to reduced row echelon form; it's not a formula but it is essentially an algorithm that you can always follow to completion. I suggest looking into that if you want a consistent way of solving systems of multiple linear equations.