Question

mx + ny = m2 - n2 and ny + mx = 0, find the value of ( x + y ).

Answer 1

mx + ny = m² - n² ..........(1)

nx + my = 0 ..........(2)

multiplying n with equation (1) and m with equation (2),

mnx + n²y = m²n - n³ ..........(1)

mnx + m²y = 0 ............(2)

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(n² - m²)y = n(m² - n²) => y = -n

put y = -n in equation (1),

mx - n² = m² - n² => x = m

so, (x + y) = m - n

hence, value of (x + y) is (m - n)

Answer 2

Step-by-step explanation:

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