Mister Exam

Other calculators

2х+у=4; ху+2х=-12

v

The graph:

from to

from to

The solution

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

$$y_{1} = 1 + \sqrt{33}$$
=
$$1 + \sqrt{33}$$
=
6.74456264653803
$$x_{2} = \frac{3}{2} + \frac{\sqrt{33}}{2}$$
=
$$\frac{3}{2} + \frac{\sqrt{33}}{2}$$
=
4.37228132326901

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