find K if the equations inconsistant x-4y=6 3x+ky=5
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The given equations are :x−4y−6 = 03x+ky−5 = 0Now, we know that, equations a1x+b1y+c1 = 0 and a2x+b2y+c2 = 0 have no solution if,a1a2 = b1b2≠c1c2⇒13=−4k ≠65⇒13=−4k and −4k ≠65⇒k = −12 and k≠−103
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this will be the answer
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