Question

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

Answer 1

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