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3 years ago

-2x - 3y +2=-1 -2x + y = 8 x + 3y + 5z = -2

Mathematics

1 answer:

stich3 [128]3 years ago

8 0

Answer:Except -1 for all real values of k given the equations has a unique solution.

Step-by-step explanation:

Except -1 for all real values of k given the equations has a unique solution.

Explanation:

Compare given linear pair of equations

(3k+1)x+3y-2 = 0 ----(1)

(k²+1)x+(k-2)y-5=0 ----(2)

with

----(2)

----(3)

we get ,

and

\* Given linear equations have unique solution *\

=> 3k(k-2)+1(k-2)≠3k²+3

=> 3k²-6k+k-2≠3k²+3

=> 3k²-5k-3k²≠3+2

=> -5k ≠ 5

Divide each term by (-5) , we get

=> k ≠-1

Therefore,

Except -1 for all real values of k given the equations has a unique solution.

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Step-by-step explanation:

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