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Express x in terms of y where -2*x+6*y=13

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The solution

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-2*x + 6*y = 13
$$- 2 x + 6 y = 13$$
Detail solution
Given the linear equation:
-2*x+6*y = 13

Looking for similar summands in the left part:
-2*x + 6*y = 13

Move the summands with the other variables
from left part to right part, we given:
$$- 2 x = 13 - 6 y$$
Divide both parts of the equation by -2
x = 13 - 6*y / (-2)

We get the answer: x = -13/2 + 3*y
Rapid solution [src]
x1 = -13/2 + 3*re(y) + 3*I*im(y)
$$x_{1} = 3 \operatorname{re}{\left(y\right)} + 3 i \operatorname{im}{\left(y\right)} - \frac{13}{2}$$
x1 = 3*re(y) + 3*i*im(y) - 13/2