Question

X / A + Y / B equals to a + b and X / a square + Y / b square equals to 2 find X and Y in terms of a and b​

Answer 1

Answer:

x=a² ,y=b²

Step-by-step explanation:

x/a+y/b=a+b--------{1}

x/a²+y/b²=2---------{2}

multiply [2]with a

so x/a²×a+ay/b²=2a-----[3]

[1] - [3]

we get,

y/b-ay/b²=a+b-2a

⇒y/b-ay/b²=b-a

take LCM

⇒yb-ay/b²=b-a

⇒y[b-a]/b²=b-a

⇒y[b-a]=b²[b-a]

⇒y=b²[b-a]\b-a

⇒y=b²----------{4}

put {4}in {3}

x/a+a[b²]/b²=2a

⇒x+a²/a=2a

⇒x+a²=2a²

⇒x=2a²-a²

⇒x=a²