Hey, intellectuals! Good morning, please solve this pair of linear equation in two variable:- x/a +y/b=2, ax-by=a²-b²
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Answer:
x/a + y/b = 2
ay + xb = 2ab----------( 1 )
ax - by = a² - b²---------( 2 )
from-----( 1 ) &-------( 2 )
multiply ( 1 ) by "a" ( 2 ) by "b"
abx + a²y = 2a²b
abx - b²y = ba² - b³
-------------------------------------------------
y(a² + b²) = 2a²b - ba² + b³
y(a² + b²) = a²b + b³
y(a² + b²) = b(a² + b²)
y = b [ put in -----( 1 )]
we get,
ay + xb = 2ab
a(b) + xb = 2ab
xb = 2ab - ab
x = ab/b
x = a
Step-by-step explanation:
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