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Express x in terms of y where 10*x+9*y=-4

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The solution

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10*x + 9*y = -4
$$10 x + 9 y = -4$$
Detail solution
Given the linear equation:
10*x+9*y = -4

Looking for similar summands in the left part:
9*y + 10*x = -4

Move the summands with the other variables
from left part to right part, we given:
$$10 x = - 9 y - 4$$
Divide both parts of the equation by 10
x = -4 - 9*y / (10)

We get the answer: x = -2/5 - 9*y/10
Rapid solution [src]
       2   9*re(y)   9*I*im(y)
x1 = - - - ------- - ---------
       5      10         10   
$$x_{1} = - \frac{9 \operatorname{re}{\left(y\right)}}{10} - \frac{9 i \operatorname{im}{\left(y\right)}}{10} - \frac{2}{5}$$
x1 = -9*re(y)/10 - 9*i*im(y)/10 - 2/5