2*x+y=3 equation

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2*x + y = 3

$$2 x + y = 3$$

Simplify

Detail solution

Given the linear equation:

2*x+y = 3

Looking for similar summands in the left part:

y + 2*x = 3

Move the summands with the other variables
from left part to right part, we given:
$$2 x = 3 - y$$
Divide both parts of the equation by 2

x = 3 - y / (2)

We get the answer: x = 3/2 - y/2

The graph

Sum and product of roots [src]

sum

3   re(y)   I*im(y)
- - ----- - -------
2     2        2

$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{3}{2}$$

3   re(y)   I*im(y)
- - ----- - -------
2     2        2

$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{3}{2}$$

product

3   re(y)   I*im(y)
- - ----- - -------
2     2        2

$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{3}{2}$$

3   re(y)   I*im(y)
- - ----- - -------
2     2        2

$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{3}{2}$$

3/2 - re(y)/2 - i*im(y)/2

Rapid solution [src]

     3   re(y)   I*im(y)
x1 = - - ----- - -------
     2     2        2

$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{3}{2}$$

x1 = -re(y)/2 - i*im(y)/2 + 3/2