If the system of equations 6x+2y=3 and kx+y=2 has a unique solution find the value of k
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Answered by
20
Answer:
Step-by-step explanation:
Here the given equation are
6x+2y=3
And kx+y=2
Now if these equation has unique solution then
a1/a2 is not equal to b2/b2
Or 6/k is not = 2/1
Or 6 is not = 2k
Or. K is not = 6/2
Or. K is not = 3
Therefore th given pair of equations has no unique solution
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Answered by
29
Unique solution = a1/a2 = b1/b2 ≠ c1/c2
Here, a1 = 6, b1 = 2, c1 = 3, a2 = k, b2 = 1, c2 = 2
6/k = 2/1 ≠ 3/2
6 × 1 = k × 2
6 = 2k
6/2 = k
K = 3
Hence the value of K = 3
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