Question

49x-57y=172;57x-49y=252​

Answer 1

Answer:

If 49x-57y=172;57x-49y=252​, then  (x,y)=(7,3).

Step-by-step explanation:

49x−57y=172 -------- (1)

57x−49y=252 ------ (2)

Adding (1) and (2), we get

49x+57x−57y−49y=172+252

106x−106y=424

x−y=4 -------- (3)

Subtracting (2) from (1) we have

49x+57x−57y−(−49y)=252−172

−8x−8y=−80

−x−y=−10

x+y=10 --------- (4)

Adding (3) and (4)

x−y=4

x+y=10

2x=14

x=7

Putting the value of x = 7 in (4) we get

7+y=10

y=10−7

y=3

Thus, the coordinates of (x,y)=(7,3)