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What is condition that the pair …

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What is condition that the pair of linear equations kx+2y=5and 3x+y=1have a unique solution

Posted by Sinah Chawla 5 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

According to question the given system of equations are
3x + y = 1.......(1)
and kx + 2y = 5..........(2)

Since we know that,
The given equations are of the form
a₁x + b₁y + c₁= 0 and
a₂x + b₂y + c₂ = 0
has a unique solution if {tex}\frac { a _ { 1 } } { a _ { 2 } } \neq \frac { b _ { 1 } } { b _ { 2 } }{/tex}
Thus, {tex}\frac { 3 } { k } \neq \frac { 1 } { 2 } \Rightarrow k \neq 6{/tex}
Thus, k can take any real values except 6

0Thank You

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CBSE > Class 10 > Mathematics