An increase in the temperature of a system at equilibrium favors the backward or reversible reaction.
According to the equilibrium law, when any external stress is applied at the equilibrium state then the equilibrium will shift to that side which decreases the external affect.
Suppose a chemical reaction which is exothermic in nature will be represented as:
A + B ⇄ C + D
If we increases the temperature then reaction will shift to the left side to overcome the effect of increased temperature.
Hence reversible reaction proceeds on increasing the temperature.
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