I have three equations
$$ x = 20 \\ -x+a = 10 \\ y = 2 $$
Can I add these equations and get
$$ x-x+a+y = 20+10+2 \\ a+y = 32? $$
If yes, what is the name of the rule applied?
2026-05-05 19:52:21.1778010741
Add together simple equations
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You can definitely do this. I doubt that there is any name that is in general use. Its done so often in so many different contexts.