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hey here is your answer
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Step-by-step explanation:
now here
15/x+y+7/x-y=10 can be represented as
15×1/x+y+7×1/x-y=10
similarly 5/x+y-2/x-y=-1 can be represented as
5×1/x+y-2×1/x-y=-1
so let 1/x+y=m and 1/x-y=n
thus then we get
15m+7n=10 (1)
5m-2n=-1 (2)
so multiplying (2) by 3
we get
15m-6n=-3 (3)
so subtracting (3) from (1)
we get
13n=13
ie n=1
substitute value of n in any of three equations
we get
m=1/5
so resubstituting values of m and n as 1/x+y and
1/x-y respectively
we get
1/x+y=1/5 & 1/x-y=1
ie x+y=5 (4)
x-y=1 (5)
adding (4) and (5)
we get
2x=6
ie x=3
substitute value of x in (4)
we get
y=2
thus (x,y)=(3,2) is solution of above linear equations
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