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х+у=140; 140/х-140/у=7/12

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The solution

You have entered [src]
x + y = 140
$$x + y = 140$$
140   140       
--- - --- = 7/12
 x     y        
$$- \frac{140}{y} + \frac{140}{x} = \frac{7}{12}$$
-140/y + 140/x = 7/12
Rapid solution
$$x_{1} = 60$$
=
$$60$$
=
60

$$y_{1} = 80$$
=
$$80$$
=
80
$$x_{2} = 560$$
=
$$560$$
=
560

$$y_{2} = -420$$
=
$$-420$$
=
-420
Numerical answer [src]
x1 = 60.0
y1 = 80.0
x1 = 60.0
y1 = 80.0