Final answer:
If the linear system has infinitely many solutions, the value of k is undetermined and h is -6/63.
Step-by-step explanation:
If the linear system has infinitely many solutions, then the determinant of the coefficient matrix would be zero. To find the determinant, we set up the matrix and calculate:
| 3 -5 6 |
|-3 -8 -5 | = 0
|-9 -37 h |
By expanding the determinant, we get the equation 378h + 72 = 0. Solving for h, we find h = -6/63. Since k is not given in the equation, we cannot determine its value.