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Express x in terms of y where -11*x+10*y=-9

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Numerical solution:

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The solution

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-11*x + 10*y = -9
$$- 11 x + 10 y = -9$$
Detail solution
Given the linear equation:
-11*x+10*y = -9

Looking for similar summands in the left part:
-11*x + 10*y = -9

Move the summands with the other variables
from left part to right part, we given:
$$- 11 x = - 10 y - 9$$
Divide both parts of the equation by -11
x = -9 - 10*y / (-11)

We get the answer: x = 9/11 + 10*y/11
Rapid solution [src]
     9    10*re(y)   10*I*im(y)
x1 = -- + -------- + ----------
     11      11          11    
$$x_{1} = \frac{10 \operatorname{re}{\left(y\right)}}{11} + \frac{10 i \operatorname{im}{\left(y\right)}}{11} + \frac{9}{11}$$
x1 = 10*re(y)/11 + 10*i*im(y)/11 + 9/11