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2х^2-3ху+5у=5; (х-2)(у-1)=0

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The solution

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   2                  
2*x  - 3*x*y + 5*y = 5
$$5 y + \left(2 x^{2} - 3 x y\right) = 5$$
(x - 2)*(y - 1) = 0
$$\left(x - 2\right) \left(y - 1\right) = 0$$
(x - 2)*(y - 1) = 0
Rapid solution
$$x_{1} = 0$$
=
$$0$$
=
0

$$y_{1} = 1$$
=
$$1$$
=
1
$$x_{2} = \frac{3}{2}$$
=
$$\frac{3}{2}$$
=
1.5

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

$$y_{3} = 3$$
=
$$3$$
=
3
Numerical answer [src]
x1 = -1.254528060888337e-21
y1 = 1.0
x2 = -7.230613585205352e-24
y2 = 1.0
x3 = 2.025887636048687e-24
y3 = 1.0
x4 = 4.50726752266604e-24
y4 = 1.0
x5 = 1.704788594708892e-24
y5 = 1.0
x6 = -2.037106712707257e-22
y6 = 1.0
x7 = -1.716939808728085e-23
y7 = 1.0
x8 = -1.025793122510697e-21
y8 = 1.0
x9 = 2.0
y9 = 3.0
x10 = -3.031983792428487e-23
y10 = 1.0
x11 = -1.315125904812121e-23
y11 = 1.0
x12 = 9.287956186420578e-24
y12 = 1.0
x13 = -1.604658754747565e-24
y13 = 1.0
x14 = -8.595291497913483e-24
y14 = 1.0
x15 = -1.761253414037909e-23
y15 = 1.0
x16 = 1.936417558655491e-23
y16 = 1.0
x16 = 1.936417558655491e-23
y16 = 1.0