13. Solve the following simultaneous equations :
mx + y) + n(x - y) – (m² + mn + n°) = 0)
n(x + y) + mix - y) - (m? - mn + n) = 0
ostants
Answers
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mx−ny=m
mx−ny=m 2
mx−ny=m 2 +n
mx−ny=m 2 +n 2
mx−ny=m 2 +n 2
mx−ny=m 2 +n 2 mx+my=2m
mx−ny=m 2 +n 2 mx+my=2m 2
mx−ny=m 2 +n 2 mx+my=2m 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y=
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 )
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 )
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=(
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+n
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2 )=
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2 )= (m+n)
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2 )= (m+n)(m+n)(m−n)
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2 )= (m+n)(m+n)(m−n)
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2 )= (m+n)(m+n)(m−n)
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2 )= (m+n)(m+n)(m−n) y=m−n
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2 )= (m+n)(m+n)(m−n) y=m−nSubstitute 'y' in equaltion x+y=2m
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2 )= (m+n)(m+n)(m−n) y=m−nSubstitute 'y' in equaltion x+y=2mx=2m−m+n
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2 )= (m+n)(m+n)(m−n) y=m−nSubstitute 'y' in equaltion x+y=2mx=2m−m+nx=m+n
mx−ny=m 2 +n 2 mx+my=2m 2 - - -−my−ny=m 2 +n 2 −2m 2 ⇒(x+y=2m)×m−y= m+n(n 2 −m 2 ) ⇒y=( m+nm 2 −n 2 )= (m+n)(m+n)(m−n) y=m−nSubstitute 'y' in equaltion x+y=2mx=2m−m+nx=m+n(x,y)=[m+n,m−n]
