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Express x in terms of y where 5*x+4*y=-12

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Numerical solution:

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The solution

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5*x + 4*y = -12
$$5 x + 4 y = -12$$
Detail solution
Given the linear equation:
5*x+4*y = -12

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

Move the summands with the other variables
from left part to right part, we given:
$$5 x = - 4 y - 12$$
Divide both parts of the equation by 5
x = -12 - 4*y / (5)

We get the answer: x = -12/5 - 4*y/5
Rapid solution [src]
       12   4*re(y)   4*I*im(y)
x1 = - -- - ------- - ---------
       5       5          5    
$$x_{1} = - \frac{4 \operatorname{re}{\left(y\right)}}{5} - \frac{4 i \operatorname{im}{\left(y\right)}}{5} - \frac{12}{5}$$
x1 = -4*re(y)/5 - 4*i*im(y)/5 - 12/5