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Express x in terms of y where -8*x+10*y=19

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The solution

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-8*x + 10*y = 19
$$- 8 x + 10 y = 19$$
Detail solution
Given the linear equation:
-8*x+10*y = 19

Looking for similar summands in the left part:
-8*x + 10*y = 19

Move the summands with the other variables
from left part to right part, we given:
$$- 8 x = 19 - 10 y$$
Divide both parts of the equation by -8
x = 19 - 10*y / (-8)

We get the answer: x = -19/8 + 5*y/4
Rapid solution [src]
       19   5*re(y)   5*I*im(y)
x1 = - -- + ------- + ---------
       8       4          4    
$$x_{1} = \frac{5 \operatorname{re}{\left(y\right)}}{4} + \frac{5 i \operatorname{im}{\left(y\right)}}{4} - \frac{19}{8}$$
x1 = 5*re(y)/4 + 5*i*im(y)/4 - 19/8