Solve the following simultanious lenier equation and find the value of x and y:- mx-ny=m²+ n² x+y=2m
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Step-by-step explanation:
Multiply 2nd equation by n , then add to 1st equation:
mx−ny=m2+n2
nx+ny=2mn
(m+n)x=m2+n2+2mn=(m+n)2
x=m+n
Multiply 1st equation by −1 and 2nd equation by m , then add:
−mx+ny=−m2−n2
mx+my=2m2
(m+n)y=m2−n2=(m−n)(m+n)
y=m−n
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