10/x+y+2/x-y=4;15/x-y-5/x+y=-2
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Answer:
please confirm your question
Step-by-step explanation:
let, 1/x+y=u & 1/x-y=v
10u+2v=4...(i). -5u+15v=-2.....(ii)
elimination method
(i)×15=150u+30v=60
(ii)×2=-10u+30v=-4
(i)-(ii)=160u=64
=u=2/5
putting the value of u in eqn (i)
10×2/5+2v=4
=2v=0
=v=0
1/x+y=2/5; 1/x-y=0
x=5-2y/2....(iii)
x-y=0
=x=y
=5-2y/2=y
=5-2y=2y
=y=5/4
putting the value of y in eqn (iii)
x=(5-2×5/4)/2
x=5/4
hopes it helps you.
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