Question

49 x minus 57 Y is equals to 172; 57 x minus 49 Y is equals to 252

Answer 1

49x - 57y = 172 ----------(1)

57x - 49y = 252-----------(2)


adding--(1) and --(2)

49x - 57y = 172
57x - 49y = 252
—————————
106x - 106y = 424

=> x - y = 4--------(3)

now,

subtract from-(1) AND--(2)

49x - 57y = 172
57x - 49y = 252
(-)___(+)____(-)
——————————
-8x - 8y = -80

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

from--(3) and ---(5)

x - y = 4
x + y = 10
—————
2x = 14

=> x = 7 put in --(3)

we get,

7 - y = 4

=> y = 7 - 4

=>y = 3