activity verify the condition for consistency/inconsistency
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hello,
any set of equations is in the form of
a₁x+b₁y+c₁=0 : a₂x+b₂y+c₂=0
for consistent equations
(1)for a unique solution-
a₁/a₂≠b₁/b₂
example- 2x+y=1 ; 5x-3y=0 after solving a unique solution will come
(2)for infinitely many solutions-
a₁/a₂=b₁/b₂=c₁/₂
example- 5x-y-2=0 ; 10x-2y-4=0 these equations have infinitley many solutions
for inconsistent equations-
when,a₁/a₂=b₁/b₂≠c₁/c₂
example- 7x-9y=1 ; 14x-18y=8 the solution of these equation will not come
hope this helps,if u like it please mark it as brainliest
any set of equations is in the form of
a₁x+b₁y+c₁=0 : a₂x+b₂y+c₂=0
for consistent equations
(1)for a unique solution-
a₁/a₂≠b₁/b₂
example- 2x+y=1 ; 5x-3y=0 after solving a unique solution will come
(2)for infinitely many solutions-
a₁/a₂=b₁/b₂=c₁/₂
example- 5x-y-2=0 ; 10x-2y-4=0 these equations have infinitley many solutions
for inconsistent equations-
when,a₁/a₂=b₁/b₂≠c₁/c₂
example- 7x-9y=1 ; 14x-18y=8 the solution of these equation will not come
hope this helps,if u like it please mark it as brainliest
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