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Question

For what value of k does the system of equations x+2y=3,5x+ky+7=0 have
no solution ? Also, show that there is no value of k for which the given system of equations has infinitely many solutions.

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Solution

no solution? also, show that the there is no value of k for which the given system of equations has infinitely many solutions.
System has no solution:
a1a2=b1b2c1c215=2k37
k=10
System has infinitely many solutions:
a1a2=b1b2=c1c2
15=2k=37
Which is not at all possible.
1/53/7
K has no value.

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