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Express x in terms of y where 8*x+5*y=-12

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Numerical solution:

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The solution

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8*x + 5*y = -12
$$8 x + 5 y = -12$$
Detail solution
Given the linear equation:
8*x+5*y = -12

Looking for similar summands in the left part:
5*y + 8*x = -12

Move the summands with the other variables
from left part to right part, we given:
$$8 x = - 5 y - 12$$
Divide both parts of the equation by 8
x = -12 - 5*y / (8)

We get the answer: x = -3/2 - 5*y/8
Rapid solution [src]
       3   5*re(y)   5*I*im(y)
x1 = - - - ------- - ---------
       2      8          8    
$$x_{1} = - \frac{5 \operatorname{re}{\left(y\right)}}{8} - \frac{5 i \operatorname{im}{\left(y\right)}}{8} - \frac{3}{2}$$
x1 = -5*re(y)/8 - 5*i*im(y)/8 - 3/2