Ṣalāt al-Jumuʿah is optional when ʿĪd falls on a Friday

I witnessed Muʿāwiyah b. Abū Sufyān asking Zayd b. Arqam: Did you offer along with the Messenger of Allah ﷺ the Friday and 'Īd prayers happening on the same day? He said: Yes. He asked: How did he do it? He replied: He offered the 'Īd prayer and granted a concession ˹to the people˺ to offer the Friday prayer, and said: "If anyone wants to offer it, he may offer."  

شَهِدْتُ مُعَاوِيَةَ بْنَ أَبِي سُفْيَانَ وَهُوَ يَسْأَلُ زَيْدَ بْنَ أَرْقَمَ قَالَ أَشَهِدْتَ مَعَ رَسُولِ اللَّهِ ﷺ عِيدَيْنِ اجْتَمَعَا فِي يَوْمٍ؟ قَالَ: نَعَمْ قَالَ فَكَيْفَ صَنَعَ؟ قَالَ: صَلَّى الْعِيدَ ثُمَّ رَخَّصَ فِي الْجُمُعَةِ فَقَالَ «مَنْ شَاءَ أَنْ يُصَلِّيَ فَلْيُصَلِّ۔»  

Ata' ibn AbuRabah said: Ibn az-Zubayr led us in the 'Id prayer on Friday early in the morning. When we went to offer the Friday, he did not come out to us. So we prayed ourselves alone. At that time Ibn Abbas was present in at-Ta'if. When he came to us, we mentioned this (incident) to him. He said: He followed the sunnah.  

أَصَابَ السُّنَّةَ  

The Friday and the ‘id prayers synchronized during the time of Ibn al-Zubair. He said: Two festivals (‘id and Friday) synchronized on the same day. He combined them and offered two rak’ahs in the morning and did not add anything to them until he offered the afternoon prayer.  

عِيدَانِ اجْتَمَعَا فِي يَوْمٍ وَاحِدٍ فَجَمَعَهُمَا جَمِيعًا فَصَلاَّهُمَا رَكْعَتَيْنِ بُكْرَةً لَمْ يَزِدْ عَلَيْهِمَا حَتَّى صَلَّى الْعَصْرَ  

The Prophet ﷺ said: Two festivals ('Id and Friday) have synchronised on this day. If anyone does not want to offer the Friday prayer, the 'Id prayer is sufficient for him. But we shall offer the Friday prayer. This tradition has been narrated by 'Umar from Shu'bah.  

عَنْ رَسُولِ اللَّهِ ﷺ أَنَّهُ قَالَ قَدِ اجْتَمَعَ فِي يَوْمِكُمْ هَذَا عِيدَانِ فَمَنْ شَاءَ أَجْزَأَهُ مِنَ الْجُمُعَةِ وَإِنَّا مُجَمِّعُونَ قَالَ عُمَرُ عَنْ شُعْبَةَ