# For what values of 'k' the pair of linear equations x + ky + 4 = 0 and 2x - 4y - 8 = 0 is inconsistent?

2
by vineetha

2015-06-18T12:31:10+05:30

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As we know that if a system of equations has parallel lines it its inconsistent or having no solution.
therefore,a₁/a₂=b₁/b2≠c₁/c₂
⇒1/2=-k/4
⇒k=-2
2015-06-18T12:31:29+05:30

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The value of k for which the system of equations are inconsistent is
1/2 = k/(-4)
k = -4/2 = -2

k is -2.