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Express x in terms of y where -2*x+1*y=5

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Numerical solution:

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The solution

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-2*x + y = 5
$$- 2 x + y = 5$$
Detail solution
Given the linear equation:
-2*x+1*y = 5

Looking for similar summands in the left part:
y - 2*x = 5

Move the summands with the other variables
from left part to right part, we given:
$$- 2 x = 5 - y$$
Divide both parts of the equation by -2
x = 5 - y / (-2)

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