Answer
We need the K value for the following reaction:
$$CH_4(g) + H_2O(g) \rightleftharpoons CO(g) + 3H_2(g)$$
Work Step by Step
1. Adding both equations:
$$CH_4(g) + 2 H_2O(g) + CO_2(g) + H_2(g) \leftrightharpoons CO_2(g) + CO(g) + 4H_2(g) + H_2O(g)$$
Remove the repeated ones.
$$CH_4(g) + H_2O(g) \rightleftharpoons CO(g) + 3H_2(g)$$
We need the K value for this reaction. So we can reverse the given equation (CO2(g) ...), and sum them to get the required one.