Diofant equation

In the set of integers (Z) solve the equation:

212x+316y=0


Write result with integer parameter
tZ
(parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)

Correct result:

x =  -79 t
y =  53 t

Solution:

GCD(212,316)=4  xy=316212=7953=79t53t x=79t y=53t tZ



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