Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 12*10^(-30)-0,1884*10^12*x^2-y(0,3768*10^12*x+1,183152*10^12*x^3)+y^2(2,760688*10^24*x^2)=0=0
- ((42^2-22)+(67*y))/67=((21^3-22)+(67*x))/67
- (x^2+y^2)×(x+y-3)=2xy
- sqrt(1-x)^2+(4-y)^2=0
- Equation:
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Equation cos(x)=(-1/2)
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Equation sin(x-1)=0
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Equation sin(x)=-3/2
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Equation 3*x^2-x-5=0
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Identical expressions
- ((forty-two ^ two - twenty-two)+(sixty-seven *y))/ sixty-seven =((twenty-one ^ three - twenty-two)+(sixty-seven *x))/ sixty-seven
- ((42 squared minus 22) plus (67 multiply by y)) divide by 67 equally ((21 cubed minus 22) plus (67 multiply by x)) divide by 67
- ((forty minus two to the power of two minus twenty minus two) plus (sixty minus seven multiply by y)) divide by sixty minus seven equally ((twenty minus one to the power of three minus twenty minus two) plus (sixty minus seven multiply by x)) divide by sixty minus seven
- ((422-22)+(67*y))/67=((213-22)+(67*x))/67
- 422-22+67*y/67=213-22+67*x/67
- ((42²-22)+(67*y))/67=((21³-22)+(67*x))/67
- ((42 to the power of 2-22)+(67*y))/67=((21 to the power of 3-22)+(67*x))/67
- ((42^2-22)+(67y))/67=((21^3-22)+(67x))/67
- ((422-22)+(67y))/67=((213-22)+(67x))/67
- 422-22+67y/67=213-22+67x/67
- 42^2-22+67y/67=21^3-22+67x/67
- ((42^2-22)+(67*y)) divide by 67=((21^3-22)+(67*x)) divide by 67
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Similar expressions
- ((42^2-22)+(67*y))/67=((21^3-22)-(67*x))/67
- ((42^2-22)-(67*y))/67=((21^3-22)+(67*x))/67
- ((42^2+22)+(67*y))/67=((21^3-22)+(67*x))/67
- ((42^2-22)+(67*y))/67=((21^3+22)+(67*x))/67
Express x in terms of y where ((42^2-22)+(67*y))/67=((21^3-22)+(67*x))/67
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
1742 + 67*y 9239 + 67*x
----------- = -----------
67 67
$$\frac{67 y + 1742}{67} = \frac{67 x + 9239}{67}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$y = x + \frac{7497}{67}$$
Move the summands with the unknown x
from the right part to the left part:
$$- x + y = \frac{7497}{67}$$
Divide both parts of the equation by (y - x)/x
We get the answer: x = -7497/67 + y
((42^2-22)+(67*y))/67 = ((21^3-22)+(67*x))/67
Expand brackets in the left part
42+2-22+67*y)/67 = ((21^3-22)+(67*x))/67
Expand brackets in the right part
42+2-22+67*y)/67 = 21+3-22+67*x)/67
Looking for similar summands in the left part:
26 + y = 21+3-22+67*x)/67
Looking for similar summands in the right part:
26 + y = 9239/67 + x
Move free summands (without x)
from left part to right part, we given:
$$y = x + \frac{7497}{67}$$
Move the summands with the unknown x
from the right part to the left part:
$$- x + y = \frac{7497}{67}$$
Divide both parts of the equation by (y - x)/x
x = 7497/67 / ((y - x)/x)
We get the answer: x = -7497/67 + y
Rapid solution
[src]
7497
x1 = - ---- + I*im(y) + re(y)
67
$$x_{1} = \operatorname{re}{\left(y\right)} + i \operatorname{im}{\left(y\right)} - \frac{7497}{67}$$
x1 = re(y) + i*im(y) - 7497/67