Question

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

Answer 1

$49x - 57y = 172.......(i) \\ 57x - 49y = 252 \: ......(ii) \: \\49x - 57y = 172...(i) \times 57 \\ 57x - 49y = 252...(ii) \times 49 \\ 2793x - 3249y = 9804 \\ 279 3x - 2401y = 12348 \\ subtraction \: \: \: \: karne \: \: \: \: per... \\ - 848y = - 2544 \\ y = \frac{2544}{848} \\ y = 3 \\ by \: put \: the \: value \: of \: y... \\ 49x - 57 \times 3 = 172 \\ 49x - 171 = 172 \\ 49x = 172 + 171 \\ 49x =343 \\ x = \frac{343}{49} \\ x = 7 \\ hope \: its \: help \: u............$

Answer 2

Answer:

49x – 57y = 172 .....(I)

57x – 49y = 252 .....(II)

Adding (I) and (II)

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

⇒106x-106y=424

⇒x-y=4 .....(III)

Subtracting (II) from (I) we have

49x-57y-57y-(-49y)=252-172

⇒-8x-8y=-80

⇒-x-y=-10

⇒x+y=10 .....(IV)

Adding (III) and (IV)

x-y=4x+y=10⇒2x=14⇒x=7

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

7+y=10⇒y=10-7⇒y=3

Thus, (x, y) = (7, 3).