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15x-3y=39 equation

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Numerical solution:

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The solution

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15*x - 3*y = 39
15x3y=3915 x - 3 y = 39
Detail solution
Given the linear equation:
15*x-3*y = 39

Looking for similar summands in the left part:
-3*y + 15*x = 39

Move the summands with the other variables
from left part to right part, we given:
15x=3y+3915 x = 3 y + 39
Divide both parts of the equation by 15
x = 39 + 3*y / (15)

We get the answer: x = 13/5 + y/5
The graph
Rapid solution [src]
     13   re(y)   I*im(y)
x1 = -- + ----- + -------
     5      5        5   
x1=re(y)5+iim(y)5+135x_{1} = \frac{\operatorname{re}{\left(y\right)}}{5} + \frac{i \operatorname{im}{\left(y\right)}}{5} + \frac{13}{5}
x1 = re(y)/5 + i*im(y)/5 + 13/5
Sum and product of roots [src]
sum
13   re(y)   I*im(y)
-- + ----- + -------
5      5        5   
re(y)5+iim(y)5+135\frac{\operatorname{re}{\left(y\right)}}{5} + \frac{i \operatorname{im}{\left(y\right)}}{5} + \frac{13}{5}
=
13   re(y)   I*im(y)
-- + ----- + -------
5      5        5   
re(y)5+iim(y)5+135\frac{\operatorname{re}{\left(y\right)}}{5} + \frac{i \operatorname{im}{\left(y\right)}}{5} + \frac{13}{5}
product
13   re(y)   I*im(y)
-- + ----- + -------
5      5        5   
re(y)5+iim(y)5+135\frac{\operatorname{re}{\left(y\right)}}{5} + \frac{i \operatorname{im}{\left(y\right)}}{5} + \frac{13}{5}
=
13   re(y)   I*im(y)
-- + ----- + -------
5      5        5   
re(y)5+iim(y)5+135\frac{\operatorname{re}{\left(y\right)}}{5} + \frac{i \operatorname{im}{\left(y\right)}}{5} + \frac{13}{5}
13/5 + re(y)/5 + i*im(y)/5