See this miracle explained in the notes at Matthew 15:21-28.

Mark 7:24

Would have no man know it - To avoid the designs of the Pharisees he wished to be retired.

Into the borders of Tyre and Sidon - Or, into the country between Tyre and Sidon. I have adopted this translation from Kypke, who proves that this is the meaning of the word μεθορια, in the best Greek writers.

And from thence he arose,.... From the land of Gennesaret, or from Capernaum, which was in it:

and went into the borders of Tyre and Sidon; two cities of Phoenicia: not into them, but into the borders of them; into those parts of Galilee, which bordered on Phoenicia; See Gill on Matthew 15:21.

And entered into an house; in some one of the towns, or cities, in those parts; which house might be, for the entertainment and lodging of strangers:

and would have no man know it; took all proper precaution as man, that nobody should know who, and where he was; that the, Gentiles, on whose borders he was, might not flock to him, which would create envy and disgust in the Jews:

but he could not be hid; he had wrought so many miracles in Galilee, and his fame was so much spread, and he had been seen, and was known by so many persons, that, humanly speaking, it was next to impossible, that he should be long unknown in such a place.

Went away

See on Mark 6:31. The entering into the house and the wish to be secluded are peculiar to Mark.

{6} And from thence he arose, and went into the {l} borders of Tyre and Sidon, and entered into an house, and would have no man know it: but he could not be hid.

(6) That which the proud reject when it is offered to them, that same thing the modest and humble sinners as it were voraciously consume.

(l) Into the uttermost coasts of Palestine, which were next to Tyre and Sidon.

7:24 From thence he arose, and went into the borders of Tyre and Sidon. Consult the notes on Mt 15:21-28, where the incident of the woman of Canaan is fully given.

7:24 Mt 15:21.

Mr 7:24-37. The Syrophonician Woman and Her Daughter-A Deaf and Dumb Man Healed. ( = Mt 15:21-31).

The Syrophonician Woman and Her Daughter (Mr 7:24-30).

The first words of this narrative show that the incident followed, in point of time, immediately on what precedes it.

24. And from thence he arose, and went into the borders-or "unto the borders."

of Tyre and Sidon-the two great Phonician seaports, but here denoting the territory generally, to the frontiers of which Jesus now came. But did Jesus actually enter this heathen territory? The whole narrative, we think, proceeds upon the supposition that He did. His immediate object seems to have been to avoid the wrath of the Pharisees at the withering exposure He had just made of their traditional religion.

and entered into an house, and would have no man know it-because He had not come there to minister to heathens. But though not "sent but to the lost sheep of the house of Israel" (Mt 15:24), He hindered not the lost sheep of the vast Gentile world from coming to Him, nor put them away when they did come-as this incident was designed to show.

but he could not be hid-Christ's fame had early spread from Galilee to this very region (Mr 3:8; Lu 6:17).

7:24-30 Christ never put any from him that fell at his feet, which a poor trembling soul may do. As she was a good woman, so a good mother. This sent her to Christ. His saying, Let the children first be filled, shows that there was mercy for the Gentiles, and not far off. She spoke, not as making light of the mercy, but magnifying the abundance of miraculous cures among the Jews, in comparison with which a single cure was but as a crumb. Thus, while proud Pharisees are left by the blessed Saviour, he manifests his compassion to poor humbled sinners, who look to him for children's bread. He still goes about to seek and save the lost.