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Express x in terms of y where 6*x-11*y=9

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Numerical solution:

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The solution

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6*x - 11*y = 9
$$6 x - 11 y = 9$$
Detail solution
Given the linear equation:
6*x-11*y = 9

Looking for similar summands in the left part:
-11*y + 6*x = 9

Move the summands with the other variables
from left part to right part, we given:
$$6 x = 11 y + 9$$
Divide both parts of the equation by 6
x = 9 + 11*y / (6)

We get the answer: x = 3/2 + 11*y/6
Rapid solution [src]
     3   11*re(y)   11*I*im(y)
x1 = - + -------- + ----------
     2      6           6     
$$x_{1} = \frac{11 \operatorname{re}{\left(y\right)}}{6} + \frac{11 i \operatorname{im}{\left(y\right)}}{6} + \frac{3}{2}$$
x1 = 11*re(y)/6 + 11*i*im(y)/6 + 3/2