find the value of k, 2x+y-3= 0 and 5x+ky+7=0 has no solution
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Answer:
k=5/2
Explanation:
2x+y-3= 0
∴2x+y=3-----(1)
5x+ky+7=0
∴5x+ky=-7---(2)
Comparing eq.1 and 2 with a1x+b1y=c1 and a2x+b2y+c2 respectively
we get
a1=2,b1=1, c1=3 ,
a2=5,b2=k,c2=-7
The equations has no solution---(given)
∴a1/a2= b1/b2
∴2/5=1/k
∴2*k=1*5
∴2k=5
∴k=5/2
Hope so it helps
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