solve Q.45,46,47...plz dosto with steps..with elimination method..u can tally ur answer given in bracket...
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Answers
Answer:
hiii sristi
here i uploaded your answer
Step-by-step explanation:
25.
Let mx − ny = m2 + n2 → (1)
x − y = 2n
Multiply above equation with n, we get
nx − ny = 2n2 → (2)
subtract (2) from (1)
mx − ny = m2 + n2
nx − ny = 2n2
− + −
---------------------------------
= (m − n)x = m2 − n2
⇒ (m − n)x = (m − n)(m + n)
∴ x = (m + n)
Put x = (m + n) in x − y = 2n
⇒ (m + n) − y = 2n
⇒ (m + n) − 2n = y
∴ y = (m − n)
46.
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
47.
bx/a + ay/b = a2 + b2 ......... eq1
x + y = 2ab .... eq 2..
frm eq 1.. b2x + a2y / ab = a2 + b2
-> b2x + a2y = a3b + b3a
-> b2x - b3a = a3b - a2y
->b2 ( x - ab ) = a2 ( ab - y )
-> frm eq 2 ... b2 ( x - x/2 + y/2 ) = a2 ( x/2 + y/2 - y )
-> b2 ( x/2 - y/2 ) = a2 ( x/2 - y/2 )
-> b2x - b2y = a2x - a2y
-> x ( b2 - a2 ) = y ( b2 - a2 )
-> x = y ..
put the value of x in eq 2.... 2y = 2ab
hope this will help!
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mai answer nahi dugi.........
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