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Step-by-step explanation:
Let 3x+y =u
3x-y =v
1/u +1/v =3/4 (1) by multiplying 2 in equation (1)
1/2u- 1/2v=-1/8 (2)
1/2u + 1/2v =3/8 (1) by adding equation equation (1) and (2)
1/2u+1/2u = 2/8
2/2u = 1/4
1/u =1/4
u=4
by substituting u value in (1)
1/u +1/v =3/8
1/v+1/4 =3/4
1/v= 3/4-1/4=2/4=1/2
v=2 again solving the value of v and u
3x+y=4(3)
3x-y=2(4) by adding (3) and (4)
6x=6
x=1
by substitution x=1 in equation (3)
y=1
Answer
X= 1 and Y =1
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