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Express x in terms of y where 13*x+9*y=1

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Numerical solution:

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The solution

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13*x + 9*y = 1
$$13 x + 9 y = 1$$
Detail solution
Given the linear equation:
13*x+9*y = 1

Looking for similar summands in the left part:
9*y + 13*x = 1

Move the summands with the other variables
from left part to right part, we given:
$$13 x = 1 - 9 y$$
Divide both parts of the equation by 13
x = 1 - 9*y / (13)

We get the answer: x = 1/13 - 9*y/13
Rapid solution [src]
     1    9*re(y)   9*I*im(y)
x1 = -- - ------- - ---------
     13      13         13   
$$x_{1} = - \frac{9 \operatorname{re}{\left(y\right)}}{13} - \frac{9 i \operatorname{im}{\left(y\right)}}{13} + \frac{1}{13}$$
x1 = -9*re(y)/13 - 9*i*im(y)/13 + 1/13