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49x - 57y = 172 ... (I)

57x - 49y = 252 ... (II)

Let's add the two given equations

49x - 57y = 172

+57x - 49y = 252

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106x - 106y = 424

Dividing both sides by 106

x - y = 4 ... (III)

Now, let's subtract equations (II) from (I)

49x - 57y = 172

-57x - 49y = 252

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-2y = -6

y = 3

Place this value in eqaution (III)

x - y = 4

x - 3 = 4

x = 4 + 3

x = 7

x = 7, y = 3 is the solution.