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Express x in terms of y where 13*x+10*y=-8

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Numerical solution:

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The solution

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13*x + 10*y = -8
$$13 x + 10 y = -8$$
Detail solution
Given the linear equation:
13*x+10*y = -8

Looking for similar summands in the left part:
10*y + 13*x = -8

Move the summands with the other variables
from left part to right part, we given:
$$13 x = - 10 y - 8$$
Divide both parts of the equation by 13
x = -8 - 10*y / (13)

We get the answer: x = -8/13 - 10*y/13
Rapid solution [src]
       8    10*re(y)   10*I*im(y)
x1 = - -- - -------- - ----------
       13      13          13    
$$x_{1} = - \frac{10 \operatorname{re}{\left(y\right)}}{13} - \frac{10 i \operatorname{im}{\left(y\right)}}{13} - \frac{8}{13}$$
x1 = -10*re(y)/13 - 10*i*im(y)/13 - 8/13