Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2-7x+12=0
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Equation 2^x=5
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Equation 6*3+x=72
-
Equation z^4+4=0
- Express {x} in terms of y where:
- 5*x+4*y=-12
- 11*x-19*y=14
- 2*x+3*y=14
- -18*x+8*y=-2
- Sum of series:
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1/10
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Identical expressions
- five /(twenty -6x)= one / ten
- 5 divide by (20 minus 6x) equally 1 divide by 10
- five divide by (twenty minus 6x) equally one divide by ten
- 5/20-6x=1/10
- 5 divide by (20-6x)=1 divide by 10
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Similar expressions
- 5/(20+6x)=1/10
- log(24491*140*x^2*(8901*1000/(1000*10^4))^(4/25)/(1000*((981*4989*(39/50)^3/(100*5)))))=-7*(24491/(1000*(4989/5)))^(1/8)*(22041/(125*(3503/1000)))^(1/4)/4-73/1000
5/(20-6x)=1/10 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{5}{20 - 6 x} = \frac{1}{10}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$5 \cdot 10 = 20 - 6 x$$
$$50 = 20 - 6 x$$
Move free summands (without x)
from left part to right part, we given:
$$0 = - 6 x - 30$$
Move the summands with the unknown x
from the right part to the left part:
$$6 x = -30$$
Divide both parts of the equation by 6
We get the answer: x = -5
$$\frac{5}{20 - 6 x} = \frac{1}{10}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 5
b1 = 20 - 6*x
a2 = 1
b2 = 10
so we get the equation
$$5 \cdot 10 = 20 - 6 x$$
$$50 = 20 - 6 x$$
Move free summands (without x)
from left part to right part, we given:
$$0 = - 6 x - 30$$
Move the summands with the unknown x
from the right part to the left part:
$$6 x = -30$$
Divide both parts of the equation by 6
x = -30 / (6)
We get the answer: x = -5