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x:y+xy=-10; 5x/y-2xy=13

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The solution

You have entered [src]
x            
- + x*y = -10
y            
$$x y + \frac{x}{y} = -10$$
5*x             
--- - 2*x*y = 13
 y              
$$- 2 x y + \frac{5 x}{y} = 13$$
-2*x*y + (5*x)/y = 13
Rapid solution
$$x_{1} = -3$$
=
$$-3$$
=
-3

$$y_{1} = 3$$
=
$$3$$
=
3
$$x_{2} = 3$$
=
$$3$$
=
3

$$y_{2} = -3$$
=
$$-3$$
=
-3
Numerical answer [src]
x1 = -3.0
y1 = 3.0
x2 = 3.000000000000051
y2 = -2.999999999999923
x3 = 3.0
y3 = -3.0
x3 = 3.0
y3 = -3.0