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49x - 57y = 172; 57x - 49y = 252

49x - 57y = 172; 57x - 49y = 252

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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
___________________
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
----------------------
-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.

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