Solve each of the following systems of equations by the method of cross-multiplication:

$x (a - b + \frac{a b}{a - b}) = y (a + b - \frac{a b}{a + b})$

$x + y = 2 a^{2}$

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Solution

$x = \frac{a^{3} - b^{3}}{a}, y = \frac{a^{3} + b^{3}}{a}$

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Similar questions

x (a - b + \frac{a b}{a - b}) = y (a - b - \frac{a b}{a + b})

x + y = 2 a^{2}

x (a - b + \frac{a b}{a - b}) = y (a + b - \frac{a b}{a + b}) x + y = 2 a^{2}

Solve each of the following systems of equations by the method of cross-multiplication:

$(a - b) x + (a + b) y = 2 a^{2} - 2 b^{2}$

$(a + b) (x + y) = 4 a b$

\frac{x}{a} = \frac{y}{b} a x + b y = a^{2} + b^{2}

a x + b y = a - b

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