SOLUTION: If the pair of limear equations 13x + ky= k and 39x+6y = k+4 has infinitely many solutions, then find k.

Question 1105862: If the pair of limear equations 13x + ky= k and 39x+6y = k+4 has infinitely many solutions, then find k.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If the pair of limear equations 13x + ky= k and 39x+6y = k+4 has infinitely many solutions, then find k.
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13x + ky = k
39x + 6y = k+4
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Find the slope of each line
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13x + ky = k --> y = (k - 13x)/k = (-13/k)x + 1 --> m = -13/k
39x + 6y = k+4 --> y = (k+4 - 39x)/6 = (-13/2)x + b --> m = -13/2
-13/k = -13/2
k = 2

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