Question

1/x-y +1/x+y=3;2/x-y-3/x+y=5​

Answer 1

Answer:

Add two equations

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

x+x+y-y=4

2x+0=4

2x=4

x=4/2

x=2

Replace x with 2 on any of two equations

2+y=3

y=3–2

y=1

Or

2-y=1

-y=1–2

-1y=-1

y=-1/-1

y=1

Finally substitute value of x and y in the required

x/y=2/1=2

Step-by-step explanation:

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Answer 2

Add two equations

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

x+x+y-y=4

2x+0=4

2x=4

x=4/2

x=2

Replace x with 2 on any of two equations

2+y=3

y=3–2

y=1

Or

2-y=1

-y=1–2

-1y=-1

y=-1/-1

y=1

Finally substitute value of x and y in the required

x/y=2/1=2