Solve the following equation for x and y
mx-ny=m2+n2
X+y=2m
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→ mx - ny - (m² + n²) = 0
→ x + y - 2m = 0
→ y = 2m - x
By substituting it in 1st equation
→ mx - n(2m-x) - (m² + n²) = 0
→ mx - 2mn + nx = m² + n²
→ mx + nx = m² + n² + 2mn
→ x(m + n) = (m + n)²
→ x = m + n
If x is m + n then y will be,
→ y = 2m - x
→ y = 2m - (m + n)
→ y = 2m - m - n
→ y = m - n
x = m + n; y = m - n
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