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Express x in terms of y where -5*x+19*y=10

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The solution

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-5*x + 19*y = 10
$$- 5 x + 19 y = 10$$
Detail solution
Given the linear equation:
-5*x+19*y = 10

Looking for similar summands in the left part:
-5*x + 19*y = 10

Move the summands with the other variables
from left part to right part, we given:
$$- 5 x = 10 - 19 y$$
Divide both parts of the equation by -5
x = 10 - 19*y / (-5)

We get the answer: x = -2 + 19*y/5
Rapid solution [src]
          19*re(y)   19*I*im(y)
x1 = -2 + -------- + ----------
             5           5     
$$x_{1} = \frac{19 \operatorname{re}{\left(y\right)}}{5} + \frac{19 i \operatorname{im}{\left(y\right)}}{5} - 2$$
x1 = 19*re(y)/5 + 19*i*im(y)/5 - 2