Question

if 173x + 197y = 149 and 197x + 173y = 221 then value of (x,y) is?

Answer 1

Step-by-step explanation:

173x + 197y = 149......(i)

197x + 173y = 221......(ii)

ADDING 2 EQNS

370X+370Y=370

=>X+Y=1.....(III)

SUBTRACTING 2 EQNS

24X-24Y=72

=>X-Y=3....(IV)

ADDING III AND IV

2X=4

x=2

y=(-1)

Answer 2

Step-by-step explanation:

173x + 197y = 149.......... 1

197x + 173y = 221............2

add 1 & 2

=> 370x + 370y = 370

=> x + y = 1 [ divide throughout by 370 ]........3

subtract 2 from 1

- 24x + 24y = - 72

=> - x + y = - 3 [ divide throughout by 24 ]........4

solve equations 3 and 4

=> x + y = 1

-x + y = 3

=> 2y = 4 => y = 2

x + 2 = 1 => x = - 1