Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2+2x+1=0
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Equation cos(x/2)=1/2
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Equation (x-4)/(x-6)=2
- Equation x^2-x+30=0
- Express {x} in terms of y where:
- 4*x+13*y=8
- 3*x+2*y=-4
- 8*x-11*y=-20
- 12*x-2*y=17
- Graphing y =:
- (x-4)/(x-6)
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Identical expressions
- (x- four)/(x- six)= two
- (x minus 4) divide by (x minus 6) equally 2
- (x minus four) divide by (x minus six) equally two
- x-4/x-6=2
- (x-4) divide by (x-6)=2
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Similar expressions
- (x+4)/(x-6)=2
- (x-4)/(x+6)=2
- x-4/x-6=0
(x-4)/(x-6)=2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{x - 4}{x - 6} = 2$$
Multiply the equation sides by the denominator -6 + x
we get:
$$x - 4 = 2 x - 12$$
Move free summands (without x)
from left part to right part, we given:
$$x = 2 x - 8$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = -8$$
Divide both parts of the equation by -1
We get the answer: x = 8
$$\frac{x - 4}{x - 6} = 2$$
Multiply the equation sides by the denominator -6 + x
we get:
$$x - 4 = 2 x - 12$$
Move free summands (without x)
from left part to right part, we given:
$$x = 2 x - 8$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = -8$$
Divide both parts of the equation by -1
x = -8 / (-1)
We get the answer: x = 8
The graph