Find the value of k for which 3x - y - 5 = 0 and 6x - 2y - k = 0 have infi nitely many solutions

Answer 1

Infinite solutions just means same equation.

Set up each equation in the form of y = mx + b:

1) y = 3x - 5
2) y = 3x - k/2

For the same equation, k/2 must equal 5.

k/2 = 5
Therefore, k = 10