Express x in terms of y where -2*x+9*y=1
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The solution
Detail solution
Given the linear equation:
-2*x+9*y = 1
Looking for similar summands in the left part:
-2*x + 9*y = 1
Move the summands with the other variables
from left part to right part, we given:
$$- 2 x = 1 - 9 y$$
Divide both parts of the equation by -2
x = 1 - 9*y / (-2)
We get the answer: x = -1/2 + 9*y/2
1 9*re(y) 9*I*im(y)
x1 = - - + ------- + ---------
2 2 2
$$x_{1} = \frac{9 \operatorname{re}{\left(y\right)}}{2} + \frac{9 i \operatorname{im}{\left(y\right)}}{2} - \frac{1}{2}$$
x1 = 9*re(y)/2 + 9*i*im(y)/2 - 1/2