Linear Equation in 2 variables

Algebra Level 2

The value of κ \kappa for which the system of equations has a unique solution , is

0 ≠ 3 \neq 3 ≠ 0 \neq 0 =3

Ankit Vijay by Ankit Vijay , 22, India

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2 solutions

For a system of linear equations to have a solution, they should not be parallel to each other... So the slope should NOT be equal... Slope of first line is k. Slop of second line is 3...So 'k' should not be equal to 3 For any value other than 3, the system of equations has a unique solution.. Hence, option D is answer.

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Samarpit Swain
Jun 1, 2014

The question has multiple answers....(0 is also possible)

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Nono answer is value k can be any natural number except for 3 for this system of linear pairs have a unique solution...

Ankit Vijay - 7 years ago

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@Ankit vijay You are limiting the solutions of 'k' only to natural numbers which is not correct. 'k' is a REAL NUMBER.. Hence, 0 can also be a legitimate solution...

Samarpit Swain - 7 years ago

0 is a correct answer. It isn't the most complete answer.

Steven Perkins - 7 years ago

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