Question

1. solve the equations- 1. 47x + 31y = 109 31x + 47y = 125

Answer 1

Answer:

47x+31y=109

31x+47y=125

+78x+78y=234

78(x+y)=234

x+y=234/78

x+y=3.....(1)

again subtract

we get,

=16x-16y=-16

16(x-y) =-16

x-y=-1.....(2)

from 1nd2 we get

x+y=3

x-y=-1

+2x=2

x=1

putting value of x in (1)

1+y=3

y=2

ans. x=1 y=2