Determine the value of h such that the matrix is the augmented matrix .?

Question

Determine the value of h such that the matrix is the augmented matrix of a linear system with infinitely many solutions.

[3 -4 l 4]
[9 h l 12]

Answer 1

Notice that row 2 is a multiple of row 1 if you set h= 3*(-4). Then row1 = row2 indicating that the two equations represent the same line, ie, the line represents an infinite number of solutions.