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Shirshov Alexander2016-11-02 20:16:15
Mathematics
Shirshov Alexander, 2016-11-02 20:16:15

System of linear equations with one unknown?

Good evening!
I'm trying to find the number of solutions for a system of equations of the following form:
ax = b
ax = c
With systems of equations with 2 or more unknowns, everything is simple, and quite easy to google, and it was with this one that a gag occurred.
Separately, each equation is solved quite easily:
x=-(a/b)
x=-(a/c)
Is it correct to assume that this system of equations has only one solution, and only if b = c?
And if b != c ... It's
not very clear how to represent such a system of equations graphically, two vertical lines on one graph? But there is only one variable...
It is felt that the solution is quite simple, but it is impossible to understand.

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5 answer(s)
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Denis Zagaevsky, 2016-11-02
@zagayevskiy

It's not a system of equations. Equality is transitive. b = ax = c => b = c. End.

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x67, 2016-11-16
@x67

if b!=c then if a=0 then x=0.
if b=c then x=-a/b
now calculate x if b=0

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Sergey Gornostaev, 2017-01-13
@ingush

Try response.setCharacterEncoding("UTF-8")

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Dmitry Alexandrov, 2017-01-13
@jamakasi666

Have you tried running it outside of the IDE?

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