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Given system of equations are
| 6x - 2y = 3
6x - 2y - 3 = 0 (1)
kx - y = 2
kx - y - 2 = 0 ----(2)
Compare above equations with
a1x + b1 y + c1 = 0 and
a2 x + b2 y + c2 = 0, we get
a1 = 6, b1 = -2, c1 = -3 ;
a2 = k , b2 = -1, c2 = -2;
Now ,
a1/a2 + b1/b2
[ Given they have Unique solution ]
6/k is not equal(-2 )/( -1)
6/k is not equal2
k/6 not equal 1/2
k is not equal to6/2
k is not equal3
Therefore,
For all real values of k , except k= 3,
Above equations has unique solution.
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