Question:
solve by cross multipplication : mx - ny =m2 n2 , x y =2m
Answer:
Given,
mx - ny = m2 + n2 ................1
x + y = 2m ..................2
Multiply by n in equation 2, we get
nx + ny = 2mn ..................3
Add equation 1 and 3, we get
nx + ny + mx - ny = m2 + n2 + 2mn
=> nx + mx = m2 + n2 + 2mn
=> (m + n)x = (m + n)2
=> x = (m + n)2 /(m + n)
=> x = m + n
From equation 2, we get
m + n + y = 2m
=> y = 2m - m - n
=> y = m - n
So, x = m + n, y = m - n
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