Hello,
this is my first time in this forum. My question may look stupid; until some days ago, i used equations like i use this PC, without problems. Some other day, i started questioning why equating is valid, what gives me the right to pick X, pick Y, put an = between them and arrive to conclusions. Can someone give me some hints about the principle behind?
I tried it myself, this is my explanation:
i can say, for instance
X+1=5
i'm saying X+1 equals 5; i have no idea what X+1 is, but i'm saying it equals 5, which means that if i replace X+1 by 5, i get an equality
then i can arrive to another equivalent statement based on the previous equality, which means that if i could replace X+1 by 5 and get an equality, i can also replace the next left side by the right and get an equality
, and say X+1-1=5-1
and arrive to X=4 which means that if i replace X by 4 i get an equality
which means if X+1 equals 5, then X=4
am i right? any mathematical objection?
this is my first time in this forum. My question may look stupid; until some days ago, i used equations like i use this PC, without problems. Some other day, i started questioning why equating is valid, what gives me the right to pick X, pick Y, put an = between them and arrive to conclusions. Can someone give me some hints about the principle behind?
I tried it myself, this is my explanation:
i can say, for instance
X+1=5
i'm saying X+1 equals 5; i have no idea what X+1 is, but i'm saying it equals 5, which means that if i replace X+1 by 5, i get an equality
then i can arrive to another equivalent statement based on the previous equality, which means that if i could replace X+1 by 5 and get an equality, i can also replace the next left side by the right and get an equality
, and say X+1-1=5-1
and arrive to X=4 which means that if i replace X by 4 i get an equality
which means if X+1 equals 5, then X=4
am i right? any mathematical objection?
