You need to consider the next two conditions for the system to have an infinite number of solutions, such that:

`Delta = [(5,-9),(8,k)] = 0` (`Delta` represents determinant of matrix of coefficients of variables x and y)

`Delta =5k - (-9*8) => {(Delta = 5k + 72),(Delta = 0):} => 5k + 72 = 0 => 5k = -72 => k = -72/5`

`Delta_1 = [(5,h),(8,-3)] ` = 0 (`Delta_1` represents characteristic determinant)

`Delta_1 = -15 - 8h => Delta_1 = {(Delta_1 = -15 - 8h),(Delta_1 = 0):} => -15 - 8h = 0 => 8h = -15 => h = -15/8`

**Hence, evaluating k and h for the system to have an infinite number of solutions yields `k = -72/5` and ` h = -15/8.` **