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3x+2y=2 equation

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3*x + 2*y = 2

$$3 x + 2 y = 2$$

Simplify

Detail solution

Given the linear equation:

3*x+2*y = 2

Looking for similar summands in the left part:

2*y + 3*x = 2

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

x = 2 - 2*y / (3)

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

The graph

Rapid solution [src]

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

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

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

Sum and product of roots [src]

sum

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

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

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

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

product

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

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

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

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

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

3*x+2*y=2 equation