Solve by cross multiplication: x/a − y/b = a−b ; x/a ² − x/b² = 0
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Answers
x/a+y/b-(a+b) = 0……………..(1).
x/a^2+y/b^2–2 = 0…………………(2).
x/{-2/b+(a+b)/b^2} = y/{-(a+b)/a^2+2/a} = 1/{1/ab^2–1/a^2b}.
x/{(a-b)/b^2} = y/{(a-b)/a^2} = 1/{(a-b)/a^2.b^2}.
x.b^2 = y.a^2 = a^2.b^2.
x= a^2.b^2/b^2 =a^2. Answer.
y =a^2.b^2/a^2 = b^2. Answer.
Answer:
x /a +y / b= a + b , x/ a² + y/b²= 2.
a1= 1/a, b1= 1/b, c1= -(a+b)= -a-b
a2= 1/a² , b2= 1/b² , c= -2
x y 1
----------- = ----------------- = -------------
b1 c1 c1 a1 a1 b1
b2 c2 c2 a2 a2 b2
x y 1
----------------- = ------------------- = ---------
1/b - a-b -a-b 1/a 1/a 1/b
1/b² -2 -2 1/a² 1/a² 1/b²
x y 1
----------- = --------------- = -----------------
-2/b +(a+b)/b² -(a+b)/a² + 2/a 1/ab² -1/ba²
x b² a² y a² b²
--------- = -------- = ----------
a - b a - b a - b
x = a² and y = b²
Hence the value of x = a² & y = b²
Step-by-step explanation:
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