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Express x in terms of y where -6*x+4*y=-14

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Numerical solution:

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The solution

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-6*x + 4*y = -14
$$- 6 x + 4 y = -14$$
Detail solution
Given the linear equation:
-6*x+4*y = -14

Looking for similar summands in the left part:
-6*x + 4*y = -14

Move the summands with the other variables
from left part to right part, we given:
$$- 6 x = - 4 y - 14$$
Divide both parts of the equation by -6
x = -14 - 4*y / (-6)

We get the answer: x = 7/3 + 2*y/3
Rapid solution [src]
     7   2*re(y)   2*I*im(y)
x1 = - + ------- + ---------
     3      3          3    
$$x_{1} = \frac{2 \operatorname{re}{\left(y\right)}}{3} + \frac{2 i \operatorname{im}{\left(y\right)}}{3} + \frac{7}{3}$$
x1 = 2*re(y)/3 + 2*i*im(y)/3 + 7/3