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Express x in terms of y where -6*x-17*y=14

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Numerical solution:

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The solution

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-6*x - 17*y = 14
$$- 6 x - 17 y = 14$$
Detail solution
Given the linear equation:
-6*x-17*y = 14

Looking for similar summands in the left part:
-17*y - 6*x = 14

Move the summands with the other variables
from left part to right part, we given:
$$- 6 x = 17 y + 14$$
Divide both parts of the equation by -6
x = 14 + 17*y / (-6)

We get the answer: x = -7/3 - 17*y/6
Rapid solution [src]
       7   17*re(y)   17*I*im(y)
x1 = - - - -------- - ----------
       3      6           6     
$$x_{1} = - \frac{17 \operatorname{re}{\left(y\right)}}{6} - \frac{17 i \operatorname{im}{\left(y\right)}}{6} - \frac{7}{3}$$
x1 = -17*re(y)/6 - 17*i*im(y)/6 - 7/3