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Express x in terms of y where 6*x+10*y=-2

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Numerical solution:

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The solution

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6*x + 10*y = -2
$$6 x + 10 y = -2$$
Detail solution
Given the linear equation:
6*x+10*y = -2

Looking for similar summands in the left part:
6*x + 10*y = -2

Move the summands with the other variables
from left part to right part, we given:
$$6 x = - 10 y - 2$$
Divide both parts of the equation by 6
x = -2 - 10*y / (6)

We get the answer: x = -1/3 - 5*y/3
Rapid solution [src]
       1   5*re(y)   5*I*im(y)
x1 = - - - ------- - ---------
       3      3          3    
$$x_{1} = - \frac{5 \operatorname{re}{\left(y\right)}}{3} - \frac{5 i \operatorname{im}{\left(y\right)}}{3} - \frac{1}{3}$$
x1 = -5*re(y)/3 - 5*i*im(y)/3 - 1/3