solve a^2b/x^2 + (1-b/x)a = 2b - a^2/x
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Step-by-step explanation:
(a+2b)x+(2a−b)y=2
⇒y=
2a−b
2−ax−2bx
(a−2b)x+(2a+b)y=3
⇒(a−2b)x+(2a+b)×
2a−b
2−ax−2bx
=3
⇒
2a−b
(ax−2bx)(2a−b)+(2a+b)(2−ax−2bx)
=3
⇒2a
2
x−4abx−abx+2b
2
x+4a+2b−2a
2
x−abx−4abx−2b
2
x=3(2a−b)
⇒4a+2b−10abx=6a−3b
⇒2a−5b+10abx=0
⇒x=
10ab
5b−2a
y=
2a−b
2−a(
10ab
5b−2a
)−2b(
10ab
5b−2a
)
⇒y=
10ab
2(10ab)−a(5b−2a)−2b(5b−2a)
×
2a−b
1
⇒y=
10ab×(2a−b)
20ab−5ab+2a
2
−10b
2
+4ab
⇒y=
10ab×(2a−b)
19ab+2a
2
−10b
2
⇒y=
10ab
a+10b
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