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Direct Speech: The doctor said to him, ''She will not test his eyes.''

Indirect Speech: The doctor said to him that she would not test his eyes.

Direct Speech: John said, ''I shall leave for California early next month.''

Indirect Speech: John said that he would leave for California early next month.

Why is would being used in place of will/shall in Indirect Speech of above sentences. I know there is a rule to use would in place of will/shall when transforming Direct Speech into Indirect Speech but rule must have a reason. What reason is that?
Comments  
Because in indirect speach we are looking at the sentence from our present time frame while in the quoted speach we are looking from the timeframe of the speaker. Both relate to possibility hence the conditional (ie the event had not occured at the time of the sentence).
Jackson6612Why is would being used in place of will/shall in Indirect Speech of above sentences. I know there is a rule to use would in place of will/shall when transforming Direct Speech into Indirect Speech but rule must have a reason. What reason is that?
Indirect Speech: The doctor said to him that she would not test his eyes.[said (past) is consistent with would (past)]

The doctor says that she will ot test his eyes. [says (present) is consistent with will (present)]
The same applies to the other sentence. [said (past) and would (past)]
Therefore, it is correct to say: John says that he will leave for California early next month.
I hope it is clearer to you now.
Best wishes
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He said ," I shall go as soon as it is possible ."
He said that he would go as soon as it was possible.