Question

if 49x - 57y = 172 ; 57x - 49y = 252
find (x-y)​

Answer 1

Answer:

x-y= 280.4

Step-by-step explanation:

57x-49y=252 1st equation

49x-57y=172 2nd equation

1st equation×49

2nd equation×57

2,793x-2401y=12,348 3rd equation

2,793x-3,249y=9,804 4th equation

4th equation-3rd equation (elimination method)

2,793x-3,249y=9,804

-

2,793x-2401y=12,348

_________________

0-848y=-2,544

y= -2,544÷-848

y=1696

to find x subtitute y to 1st equation or 2nd equation

i substitute on 2nd equation

49x-57y=172

49x-57×1696=172

49x-96,672=172

49x=172+96,672=96,844

x=96,844÷49=1976.4

1976.4-1696=280.4

x-y=280.4