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Express x in terms of y where -4*x+3*y=9

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The solution

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-4*x + 3*y = 9
$$- 4 x + 3 y = 9$$
Detail solution
Given the linear equation:
-4*x+3*y = 9

Looking for similar summands in the left part:
-4*x + 3*y = 9

Move the summands with the other variables
from left part to right part, we given:
$$- 4 x = 9 - 3 y$$
Divide both parts of the equation by -4
x = 9 - 3*y / (-4)

We get the answer: x = -9/4 + 3*y/4
Rapid solution [src]
       9   3*re(y)   3*I*im(y)
x1 = - - + ------- + ---------
       4      4          4    
$$x_{1} = \frac{3 \operatorname{re}{\left(y\right)}}{4} + \frac{3 i \operatorname{im}{\left(y\right)}}{4} - \frac{9}{4}$$
x1 = 3*re(y)/4 + 3*i*im(y)/4 - 9/4