if a,b are any two elements of a Group G then the equations ax=b & ya=b have unique solution in G

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Lecture-6|If a,b are any two elements in G,then the equation ax=b and ya=b have unique solution in GLecture-6|If a,b are any two elements in G,then the equation ax=b and ya=b have unique solution in G
If element a, b of semigroup G, equation ax=b and ya=b have unique solution in G, then G is groupIf element a, b of semigroup G, equation ax=b and ya=b have unique solution in G, then G is group
For any two elements a, b belongs to a group G the linear equation ax=b has unique solution.For any two elements a, b belongs to a group G the linear equation ax=b has unique solution.
theorem :- if a, b belongs to group G then eq ax=b and ya=b have unique solutions in Gtheorem :- if a, b belongs to group G then eq ax=b and ya=b have unique solutions in G
Group Theory | If a and b are elements of a Group G, equation ax=b & ya=b have unique solution in G.Group Theory | If a and b are elements of a Group G, equation ax=b & ya=b have unique solution in G.
Group Theory Proof: The Equation ax = b has a Unique SolutionGroup Theory Proof: The Equation ax = b has a Unique Solution
For a, b in G, the equations ax=b and xa=b have unique solutions.For a, b in G, the equations ax=b and xa=b have unique solutions.
If a and b are elements of a group G, then the equations ax=b and ya=b have unique solutions in G.If a and b are elements of a group G, then the equations ax=b and ya=b have unique solutions in G.