A gaseous mixture of 30 percent (by mole fraction) methane and 70 percent carbon dioxide is heated

Question:

A gaseous mixture of 30 percent (by mole fraction) methane and 70 percent carbon dioxide is heated at 1 atm pressure to 1200 K. What is the equilibrium composition (by mole fraction) of the resulting mixture? The natural logarithm of the equilibrium constant for the reaction C + 2H2 CH4 at 1200 K is 4.147.

$A gaseous mixture of 30 percent (by mole fraction) methane$