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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:
-13*x + 9*y = 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