Question

For what of k the given system of linear equation has unique solution .
2x+3y = 5, x - 5y =k
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Answer 1

Answer:

2x+3y=5, x-5y=k.

2x+3y-5=0, x-5y-k=0.

a1/a2=2/1=2.

b1/b2=3/-5.

c1/c2=-5/-k=5/k.

a1/a2 is not equal to b1/b2 is not equal to c1/c2.

2/1=5/k.

2×k=1×5.

2k=5.

k=5/2.

So, there is a unique solution.

I think this is your answer.