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For all real values of c, the pair of equations x – 2y = 8 and 5x – 10y = c have a unique solution. Justify whether it is true or false.

Posted by Deepak Joshi 4 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 4 years, 10 months ago

False, the given pair of linear equations
x-2y-8=0
5x-10y=c

But if c = 40 (real value), then the ratio c₁/c₂ becomes 1/5 and then the system of linear equations has an infinitely many solutions.
Hence, ate = 40, the system of linear equations does not have a unique solution.

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CBSE > Class 10 > Mathematics