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Express x in terms of y where -5*x-6*y=-1

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Numerical solution:

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The solution

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-5*x - 6*y = -1
$$- 5 x - 6 y = -1$$
Detail solution
Given the linear equation:
-5*x-6*y = -1

Looking for similar summands in the left part:
-6*y - 5*x = -1

Move the summands with the other variables
from left part to right part, we given:
$$- 5 x = 6 y - 1$$
Divide both parts of the equation by -5
x = -1 + 6*y / (-5)

We get the answer: x = 1/5 - 6*y/5
Rapid solution [src]
     1   6*re(y)   6*I*im(y)
x1 = - - ------- - ---------
     5      5          5    
$$x_{1} = - \frac{6 \operatorname{re}{\left(y\right)}}{5} - \frac{6 i \operatorname{im}{\left(y\right)}}{5} + \frac{1}{5}$$
x1 = -6*re(y)/5 - 6*i*im(y)/5 + 1/5