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Anonymous Anonymous
  • 05-06-2016
  • Mathematics
Answered

For what value of k will these pairs of simultaneous equations have no solution?

kx – 3y = k and y = 4x + 1

Verified Answer :

HomertheGenius
HomertheGenius HomertheGenius
  • 10-06-2016

kx-3y=k
y=4x+1 ( we will put it in 1st equation )
kx - 3 (4x+1)=k
kx - 12 x - 3 =k
kx - 12 x = k+3
x(k-12) = k+3
x=\(\frac{k+3}{k-12}\)
Also y=\(\frac{5k}{k-12}\)
We can not divide with zero.
k-12=0
k=12
For k= 12 equations have no solutions.

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