Question

find x and y if (x-y,x+y)= (8,14)​

Answer 1

Answer:

x+y=9

 On squaring both sides ,

x2+y2+2xy=81

Putting value of xy = 14

x2+y2+28=81

x2+y2=81−28=53............(i)

(x−y)2=x2+y2−2xy

Putting xy = 14 and (i)

(x−y)2=53−2(14)=53−28

(x−y)2=25

⇒x−y=±25=±5

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

1. here, x-y=8 and x+y=14
2. x-y=8 then x=8+y
3. put value of x in another eq.then y=3