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Express x in terms of y where 15*x+9*y=-6

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The solution

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15*x + 9*y = -6
$$15 x + 9 y = -6$$
Detail solution
Given the linear equation:
15*x+9*y = -6

Looking for similar summands in the left part:
9*y + 15*x = -6

Move the summands with the other variables
from left part to right part, we given:
$$15 x = - 9 y - 6$$
Divide both parts of the equation by 15
x = -6 - 9*y / (15)

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