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Express x in terms of y where 3*x-14*y=-2

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Numerical solution:

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The solution

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3*x - 14*y = -2
$$3 x - 14 y = -2$$
Detail solution
Given the linear equation:
3*x-14*y = -2

Looking for similar summands in the left part:
-14*y + 3*x = -2

Move the summands with the other variables
from left part to right part, we given:
$$3 x = 14 y - 2$$
Divide both parts of the equation by 3
x = -2 + 14*y / (3)

We get the answer: x = -2/3 + 14*y/3
Rapid solution [src]
       2   14*re(y)   14*I*im(y)
x1 = - - + -------- + ----------
       3      3           3     
$$x_{1} = \frac{14 \operatorname{re}{\left(y\right)}}{3} + \frac{14 i \operatorname{im}{\left(y\right)}}{3} - \frac{2}{3}$$
x1 = 14*re(y)/3 + 14*i*im(y)/3 - 2/3