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Question
Find the value of k for which each of the following system of equations have no solution
kx - 5y = 2
6x + 2y = 7
Solution
Given
kx - 5y = 2
6x + 2y = 7
Condition for system of equations having no solution
`a_1/a_2 - b_1/b_2 != c_1/c_2`
`=>k/6 = (-5)/2 != 2/7`
=> 2k = -30
=> k = -15
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