Express x in terms of y where -9*x+5*y=-2
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The solution
Detail solution
Given the linear equation:
-9*x+5*y = -2
Looking for similar summands in the left part:
-9*x + 5*y = -2
Move the summands with the other variables
from left part to right part, we given:
$$- 9 x = - 5 y - 2$$
Divide both parts of the equation by -9
x = -2 - 5*y / (-9)
We get the answer: x = 2/9 + 5*y/9
2 5*re(y) 5*I*im(y)
x1 = - + ------- + ---------
9 9 9
$$x_{1} = \frac{5 \operatorname{re}{\left(y\right)}}{9} + \frac{5 i \operatorname{im}{\left(y\right)}}{9} + \frac{2}{9}$$
x1 = 5*re(y)/9 + 5*i*im(y)/9 + 2/9