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25x+6y=13 equation

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25*x + 6*y = 13

$$25 x + 6 y = 13$$

Simplify

Detail solution

Given the linear equation:

25*x+6*y = 13

Looking for similar summands in the left part:

6*y + 25*x = 13

Move the summands with the other variables
from left part to right part, we given:
$$25 x = 13 - 6 y$$
Divide both parts of the equation by 25

x = 13 - 6*y / (25)

We get the answer: x = 13/25 - 6*y/25

The graph

Rapid solution [src]

     13   6*re(y)   6*I*im(y)
x1 = -- - ------- - ---------
     25      25         25

$$x_{1} = - \frac{6 \operatorname{re}{\left(y\right)}}{25} - \frac{6 i \operatorname{im}{\left(y\right)}}{25} + \frac{13}{25}$$

x1 = -6*re(y)/25 - 6*i*im(y)/25 + 13/25

Sum and product of roots [src]

sum

13   6*re(y)   6*I*im(y)
-- - ------- - ---------
25      25         25

$$- \frac{6 \operatorname{re}{\left(y\right)}}{25} - \frac{6 i \operatorname{im}{\left(y\right)}}{25} + \frac{13}{25}$$

13   6*re(y)   6*I*im(y)
-- - ------- - ---------
25      25         25

$$- \frac{6 \operatorname{re}{\left(y\right)}}{25} - \frac{6 i \operatorname{im}{\left(y\right)}}{25} + \frac{13}{25}$$

product

13   6*re(y)   6*I*im(y)
-- - ------- - ---------
25      25         25

$$- \frac{6 \operatorname{re}{\left(y\right)}}{25} - \frac{6 i \operatorname{im}{\left(y\right)}}{25} + \frac{13}{25}$$

13   6*re(y)   6*I*im(y)
-- - ------- - ---------
25      25         25

$$- \frac{6 \operatorname{re}{\left(y\right)}}{25} - \frac{6 i \operatorname{im}{\left(y\right)}}{25} + \frac{13}{25}$$

13/25 - 6*re(y)/25 - 6*i*im(y)/25