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Express x in terms of y where 11*x-6*y=1

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Numerical solution:

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The solution

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11*x - 6*y = 1
$$11 x - 6 y = 1$$
Detail solution
Given the linear equation:
11*x-6*y = 1

Looking for similar summands in the left part:
-6*y + 11*x = 1

Move the summands with the other variables
from left part to right part, we given:
$$11 x = 6 y + 1$$
Divide both parts of the equation by 11
x = 1 + 6*y / (11)

We get the answer: x = 1/11 + 6*y/11
Rapid solution [src]
     1    6*re(y)   6*I*im(y)
x1 = -- + ------- + ---------
     11      11         11   
$$x_{1} = \frac{6 \operatorname{re}{\left(y\right)}}{11} + \frac{6 i \operatorname{im}{\left(y\right)}}{11} + \frac{1}{11}$$
x1 = 6*re(y)/11 + 6*i*im(y)/11 + 1/11