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Express x in terms of y where -5*x+6*y=19

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The solution

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-5*x + 6*y = 19
$$- 5 x + 6 y = 19$$
Detail solution
Given the linear equation:
-5*x+6*y = 19

Looking for similar summands in the left part:
-5*x + 6*y = 19

Move the summands with the other variables
from left part to right part, we given:
$$- 5 x = 19 - 6 y$$
Divide both parts of the equation by -5
x = 19 - 6*y / (-5)

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