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Express x in terms of y where 10*x+1*y=1

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Numerical solution:

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The solution

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10*x + y = 1
$$10 x + y = 1$$
Detail solution
Given the linear equation:
10*x+1*y = 1

Looking for similar summands in the left part:
y + 10*x = 1

Move the summands with the other variables
from left part to right part, we given:
$$10 x = 1 - y$$
Divide both parts of the equation by 10
x = 1 - y / (10)

We get the answer: x = 1/10 - y/10
Rapid solution [src]
     1    re(y)   I*im(y)
x1 = -- - ----- - -------
     10     10       10  
$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{10} - \frac{i \operatorname{im}{\left(y\right)}}{10} + \frac{1}{10}$$
x1 = -re(y)/10 - i*im(y)/10 + 1/10