Question

if 29x +37y =103 and 37 x +29 y =95 , then....
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Answer 1

Answer:

according to question

29x+37y =103.........1

37x+29y=95............2

from 1 and 2 we get

x=1

y=2

Answer 2

adding both equations

29x+37y=103

37x+29y=95

______________

66x+66y=198

66(x+y)=198

x+y=198/66

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

subtracting both equations

29x+37y=103

37x+28y=95

- - -

_____________

-8x+8y=8

-8(x-y)=8

x-y=8/-8

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

by elimination method eq--(1),(2)

x+y=3

x-y=-1

_________

2x=2

x=1

putting value of x in eq--(1)

x+y=3

1+y=3

y=3-1=2

[x=1,y=2]