solve ax + by= a+b and x+y = 2 using elemination.
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Answer:
HELLO DEAR,
x/a + y/b = 2
{\Rightarrow }⇒ 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
{\Rightarrow }⇒ y(a² + b²) = a²b + b³
{\Rightarrow }⇒ y(a² + b²) = b(a² + b²)
{\Rightarrow }⇒ y = b [ put in -----( 1 )]
we get,
{\Rightarrow }⇒ ay + xb = 2ab
{\Rightarrow }⇒ a(b) + xb = 2ab
{\Rightarrow }⇒ xb = 2ab - ab
{\Rightarrow }⇒ x = ab/b
{\Rightarrow }⇒ x = a
I HOPE ITS HELP YOU DEAR,
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Answered by
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Step-by-step explanation:
axtby equal to a2+b2
- x+y equal 2
- an
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