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Express x in terms of y where 5*x+13*y=-15

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Numerical solution:

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The solution

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5*x + 13*y = -15
$$5 x + 13 y = -15$$
Detail solution
Given the linear equation:
5*x+13*y = -15

Looking for similar summands in the left part:
5*x + 13*y = -15

Move the summands with the other variables
from left part to right part, we given:
$$5 x = - 13 y - 15$$
Divide both parts of the equation by 5
x = -15 - 13*y / (5)

We get the answer: x = -3 - 13*y/5
Rapid solution [src]
          13*re(y)   13*I*im(y)
x1 = -3 - -------- - ----------
             5           5     
$$x_{1} = - \frac{13 \operatorname{re}{\left(y\right)}}{5} - \frac{13 i \operatorname{im}{\left(y\right)}}{5} - 3$$
x1 = -13*re(y)/5 - 13*i*im(y)/5 - 3