Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -15*x-2*y=19
- -19*x-6*y=10
- 19*x-6*y=0
- -3*x-10*y=-4
- Equation:
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Equation sin(x)=0
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Equation -2*(-2-y)-y-2=0
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Equation 2*x^2+18*x=0
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Equation sin(5*x)=-1
- Sum of series:
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11
- Integral of d{x}:
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11
- Derivative of:
- 11
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Identical expressions
- - twenty *x+ ten *y= eleven
- minus 20 multiply by x plus 10 multiply by y equally 11
- minus twenty multiply by x plus ten multiply by y equally eleven
- -20x+10y=11
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Similar expressions
- -20*x-10*y=11
- 20*x+10*y=11
Express x in terms of y where -20*x+10*y=11
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 the summands with the other variables
from left part to right part, we given:
$$- 20 x = 11 - 10 y$$
Divide both parts of the equation by -20
We get the answer: x = -11/20 + y/2
-20*x+10*y = 11
Looking for similar summands in the left part:
-20*x + 10*y = 11
Move the summands with the other variables
from left part to right part, we given:
$$- 20 x = 11 - 10 y$$
Divide both parts of the equation by -20
x = 11 - 10*y / (-20)
We get the answer: x = -11/20 + y/2
Rapid solution
[src]
11 re(y) I*im(y)
x1 = - -- + ----- + -------
20 2 2
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{2} + \frac{i \operatorname{im}{\left(y\right)}}{2} - \frac{11}{20}$$
x1 = re(y)/2 + i*im(y)/2 - 11/20