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2х+у=4; ху+2х=-12

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The solution

You have entered [src]
2*x + y = 4
2x+y=42 x + y = 4
x*y + 2*x = -12
xy+2x=12x y + 2 x = -12
x*y + 2*x = -12
Rapid solution
x1=32332x_{1} = \frac{3}{2} - \frac{\sqrt{33}}{2}
=
32332\frac{3}{2} - \frac{\sqrt{33}}{2}
=
-1.37228132326901

y1=1+33y_{1} = 1 + \sqrt{33}
=
1+331 + \sqrt{33}
=
6.74456264653803
x2=32+332x_{2} = \frac{3}{2} + \frac{\sqrt{33}}{2}
=
32+332\frac{3}{2} + \frac{\sqrt{33}}{2}
=
4.37228132326901

y2=133y_{2} = 1 - \sqrt{33}
=
1331 - \sqrt{33}
=
-4.74456264653803
Numerical answer [src]
x1 = -1.372281323269014
y1 = 6.744562646538029
x2 = 4.372281323269014
y2 = -4.744562646538029
x2 = 4.372281323269014
y2 = -4.744562646538029