For what value of k will the following pair of linear equations have infinite number of solutions? 3x + 5y – (k – 5) = 0 6x + 10y – k = 0
For what value of k will the following pair of linear equations have infinite number of solutions?
3x + 5y – (k – 5) = 0
6x + 10y – k = 0
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The given pair of linear equations will have an infinite number of solutions if
3/6 =5/10= -(k-5)/-k
or 1/2=k-5/k or 2k-10=k
or k=10
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