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Express x in terms of y where 8*x-9*y=-1

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Numerical solution:

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The solution

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8*x - 9*y = -1
$$8 x - 9 y = -1$$
Detail solution
Given the linear equation:
8*x-9*y = -1

Looking for similar summands in the left part:
-9*y + 8*x = -1

Move the summands with the other variables
from left part to right part, we given:
$$8 x = 9 y - 1$$
Divide both parts of the equation by 8
x = -1 + 9*y / (8)

We get the answer: x = -1/8 + 9*y/8
Rapid solution [src]
       1   9*re(y)   9*I*im(y)
x1 = - - + ------- + ---------
       8      8          8    
$$x_{1} = \frac{9 \operatorname{re}{\left(y\right)}}{8} + \frac{9 i \operatorname{im}{\left(y\right)}}{8} - \frac{1}{8}$$
x1 = 9*re(y)/8 + 9*i*im(y)/8 - 1/8