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If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the value of k?
Most Upvoted Answer
If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the valu...
Since the lines are parallel-
a1/a2=b1/b2is not equal to c1/c2,
k-1/5=1/-4,
-4k+4=5,
k=-1/4
Community Answer
If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the valu...
5x-4y=12. equ 1
(k-1)x+y=8. equ 2

from equ 1

-4y=12-5x
y=(12/-4)+(-5x/-4)
y=(5x/4)-3

we get value of slope 1=5/4

from equ 2

(k-1)x+y=8
y=8-(k-1)x

we get value of slope 2=-(k-1)

if lines are in parallel then, slope1=slope2
i.e. 5/4=-(k-1)
5/4=1-k
-k=(5/4)-1
by taking L.C.M
-k=(5-4)/4
-k=1/4

both side divide by -1

k=-(1/4)
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If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the value of k?
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