Mister Exam

x*y-x equation

The teacher will be very surprised to see your correct solution 😉

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Numerical solution:

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The solution

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x*y - x = 0
$$x y - x = 0$$
Detail solution
Given the linear equation:
x*y-x = 0

Divide both parts of the equation by (-x + x*y)/y
y = 0 / ((-x + x*y)/y)

We get the answer: y = 1
The solution of the parametric equation
Given the equation with a parameter:
$$x y - x = 0$$
Коэффициент при y равен
$$x$$
then possible cases for x :
$$x < 0$$
$$x = 0$$
Consider all cases in more detail:
With
$$x < 0$$
the equation
$$1 - y = 0$$
its solution
$$y = 1$$
With
$$x = 0$$
the equation
$$0 = 0$$
its solution
any y
The graph
Sum and product of roots [src]
sum
1
$$1$$
=
1
$$1$$
product
1
$$1$$
=
1
$$1$$
1
Rapid solution [src]
y1 = 1
$$y_{1} = 1$$
y1 = 1