Find K values such that the following equation are in consistent 2x+3y-5 = 0 and 3x-ky+7=0
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2x+3y-5=0
3x-ky+7=0
To be in consistent equation a1/a2 should not be equal to b1/b2
a1 2 b1 3
__ = ___ ___ = ___
a2 3 b2 k
a1. b1
___ =/= ___
a2 b2
2 3
__ =/= ___
3 k
Cross multiply
2k =/= 3*3
2k =/= 9
k =/= 9/2
k =/= 4.5
Therefore the value of "k" should not be equal
to 4.5 to form consistent equation
Hope it helps u.....
3x-ky+7=0
To be in consistent equation a1/a2 should not be equal to b1/b2
a1 2 b1 3
__ = ___ ___ = ___
a2 3 b2 k
a1. b1
___ =/= ___
a2 b2
2 3
__ =/= ___
3 k
Cross multiply
2k =/= 3*3
2k =/= 9
k =/= 9/2
k =/= 4.5
Therefore the value of "k" should not be equal
to 4.5 to form consistent equation
Hope it helps u.....
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