find the value of k for which the given system of equation has (b) becomes consistent (ii) 3x-7y =6 21x-49y =1-1
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The given equations are
3x+5y=12
4x7y=k
Comparing with general form of equations
a1x+b1y+c1=0
a2x+b2y+c2=0
Here we have
a1=3,b1=5
a2=4,b2=-7
For unique solution
a2a1=b2b1
43=−75[which is true]
So, for any real number k, given system of equation has unique solution
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