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Express x in terms of y where -6*x+10*y=19

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The solution

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-6*x + 10*y = 19
$$- 6 x + 10 y = 19$$
Detail solution
Given the linear equation:
-6*x+10*y = 19

Looking for similar summands in the left part:
-6*x + 10*y = 19

Move the summands with the other variables
from left part to right part, we given:
$$- 6 x = 19 - 10 y$$
Divide both parts of the equation by -6
x = 19 - 10*y / (-6)

We get the answer: x = -19/6 + 5*y/3
Rapid solution [src]
       19   5*re(y)   5*I*im(y)
x1 = - -- + ------- + ---------
       6       3          3    
$$x_{1} = \frac{5 \operatorname{re}{\left(y\right)}}{3} + \frac{5 i \operatorname{im}{\left(y\right)}}{3} - \frac{19}{6}$$
x1 = 5*re(y)/3 + 5*i*im(y)/3 - 19/6