10. Solve for x and y: m{(1/m-n)-(1/m+n)}x + n{(1/n-m)-(1/m+n)}y= 2m/m+n mx+ny= m+n

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Q. Solve for

x

and

y

m x - n y = m^{2} + n^{2}

and

x + y = 2 m

Q. Solve for

x

and

y

m x - n y = m^{2} + n^{2}

x - y = 2 n

Q. Eliminate

m, n

between the equations

m x - n y = a (m^{2} - n^{2}), n x + m y = 2 a m n, m^{2} + n^{2} = 1

m x - n y = m^{2} + n^{2}, x + y = 2 m .

If the pair of equations $2 x + 3 y = 11 and (m + n) x + (2 m - n) y = 33$ has infinitely many solutions, then

(a) m = −1, n = 5
(b) m = 1, n = 5
(c) m = 5, n = 1
(d) m = 1, n = −1

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