Thread: Finding the value of k, for which the system of equations has infinite solutions

The value of k, k N, for which the system of equations 10x + ky = -8 and -15x - 6y = 12, has an infinite number of solutions is ___.

Originally Posted by slategray

The value of k, k N, for which the system of equations 10x + ky = -8 and -15x - 6y = 12, has an infinite number of solutions is ___.

for an infinite number of solutions, both lines must be the same line (superimposed)

... the coefficients of one equation will be identical multiples of the coefficients in the other equation.