Question

Solve for x and y,
ax/b - by/a =a+b
ax - by =2ab

Please answer fast, by step by step explanation
I will mark u as brainlist
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Answer 1

Answer:

x = b , y = -a

Step-by-step explanation:

Given equation,

ax/b - by/a = a + b ----(1)

ax - by = 2ab ----(2)

From 1 ,

ax/b - by/a = a + b

⇒ax/b = a + b + by/a

⇒ x = [b*(a^2) + (b^2)*a + (b^2)*y]/a^2

Using above vale of x in (2),

a{[(b^2)*a + b*(a^2) + (b^2)*y]/a^2} - by = 2ab

⇒b²a + ba² + b²y - aby = 2a²b

⇒ y(b² - ab) = a²b - b²a

⇒ y = [ab(a-b)]/[(b)(b - a)]

⇒ y = -a (a-b)/(a-b)

⇒ y = -a

Using y = -a in (2),

ax - b(-a) = 2ab

⇒ ax = 2ab - ab = ab

⇒ x = b

∴x = a, y = -b

HOPE IT HELPS

(Alot simpler if you use cross-multiplication method)