Solve the following systems of equations:

x + y = 5xy
3x + 2y = 13xy,

x ≠ 0, y ≠ 0

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Solution

The given equations are:

…

…

Multiply equation by and subtract (ii) from (i), we get

Put the value of in equation, we get

Hence the value of and

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Similar questions

Solve the following systems of equations:

x+y=5xy

3x+2y=13xy,

x + y = 2 x y \frac{x - y}{x y} = 6

Solve the following systems of equations:

$x + y = 2 x y$

$\frac{x - y}{x y} = 6$

x - y + 2 z = 0

- x + 2 y - z = 1

- x + y - 3 z = 0

x + 2 y = \frac{3}{2} 2 x + y = \frac{3}{2}

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