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Express x in terms of y where -4*x-9*y=-2

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Numerical solution:

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The solution

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-4*x - 9*y = -2
$$- 4 x - 9 y = -2$$
Detail solution
Given the linear equation:
-4*x-9*y = -2

Looking for similar summands in the left part:
-9*y - 4*x = -2

Move the summands with the other variables
from left part to right part, we given:
$$- 4 x = 9 y - 2$$
Divide both parts of the equation by -4
x = -2 + 9*y / (-4)

We get the answer: x = 1/2 - 9*y/4
Rapid solution [src]
     1   9*re(y)   9*I*im(y)
x1 = - - ------- - ---------
     2      4          4    
$$x_{1} = - \frac{9 \operatorname{re}{\left(y\right)}}{4} - \frac{9 i \operatorname{im}{\left(y\right)}}{4} + \frac{1}{2}$$
x1 = -9*re(y)/4 - 9*i*im(y)/4 + 1/2