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Express x in terms of y where -10*x-12*y=-10

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Numerical solution:

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The solution

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-10*x - 12*y = -10
$$- 10 x - 12 y = -10$$
Detail solution
Given the linear equation:
-10*x-12*y = -10

Looking for similar summands in the left part:
-12*y - 10*x = -10

Move the summands with the other variables
from left part to right part, we given:
$$- 10 x = 12 y - 10$$
Divide both parts of the equation by -10
x = -10 + 12*y / (-10)

We get the answer: x = 1 - 6*y/5
Rapid solution [src]
         6*re(y)   6*I*im(y)
x1 = 1 - ------- - ---------
            5          5    
$$x_{1} = - \frac{6 \operatorname{re}{\left(y\right)}}{5} - \frac{6 i \operatorname{im}{\left(y\right)}}{5} + 1$$
x1 = -6*re(y)/5 - 6*i*im(y)/5 + 1