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Express x in terms of y where -8*x-12*y=15

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Numerical solution:

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The solution

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-8*x - 12*y = 15
$$- 8 x - 12 y = 15$$
Detail solution
Given the linear equation:
-8*x-12*y = 15

Looking for similar summands in the left part:
-12*y - 8*x = 15

Move the summands with the other variables
from left part to right part, we given:
$$- 8 x = 12 y + 15$$
Divide both parts of the equation by -8
x = 15 + 12*y / (-8)

We get the answer: x = -15/8 - 3*y/2
Rapid solution [src]
       15   3*re(y)   3*I*im(y)
x1 = - -- - ------- - ---------
       8       2          2    
$$x_{1} = - \frac{3 \operatorname{re}{\left(y\right)}}{2} - \frac{3 i \operatorname{im}{\left(y\right)}}{2} - \frac{15}{8}$$
x1 = -3*re(y)/2 - 3*i*im(y)/2 - 15/8