Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 9-8*x=-9*x+15
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Equation x+14=8
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Equation 2*x^2+3*x-5=0
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Equation 2*6-y+2=0
- Express {x} in terms of y where:
- -16*x-9*y=-1
- -15*x+7*y=1
- -10*x+4*y=3
- -19*x+16*y=-9
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Identical expressions
- xy-x- two y+2= zero
- xy minus x minus 2y plus 2 equally 0
- xy minus x minus two y plus 2 equally zero
- xy-x-2y+2=O
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Similar expressions
- xy-x+2y+2=0
- xy-x-2y-2=0
- xy+x-2y+2=0
xy-x-2y+2=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Looking for similar summands in the left part:
Move free summands (without x)
from left part to right part, we given:
$$x y - x - 2 y = -2$$
Move the summands with the other variables
from left part to right part, we given:
$$x y - x = 2 y - 2$$
Divide both parts of the equation by (-x + x*y)/x
We get the answer: x = 2
x*y-x-2*y+2 = 0
Looking for similar summands in the left part:
2 - x - 2*y + x*y = 0
Move free summands (without x)
from left part to right part, we given:
$$x y - x - 2 y = -2$$
Move the summands with the other variables
from left part to right part, we given:
$$x y - x = 2 y - 2$$
Divide both parts of the equation by (-x + x*y)/x
x = -2 + 2*y / ((-x + x*y)/x)
We get the answer: x = 2
The solution of the parametric equation
Given the equation with a parameter:
$$x y - x - 2 y + 2 = 0$$
Коэффициент при x равен
$$y - 1$$
then possible cases for y :
$$y < 1$$
$$y = 1$$
Consider all cases in more detail:
With
$$y < 1$$
the equation
$$2 - x = 0$$
its solution
$$x = 2$$
With
$$y = 1$$
the equation
$$0 = 0$$
its solution
any x
$$x y - x - 2 y + 2 = 0$$
Коэффициент при x равен
$$y - 1$$
then possible cases for y :
$$y < 1$$
$$y = 1$$
Consider all cases in more detail:
With
$$y < 1$$
the equation
$$2 - x = 0$$
its solution
$$x = 2$$
With
$$y = 1$$
the equation
$$0 = 0$$
its solution
any x
The graph