Express x in terms of y where -6*x+9*y=10
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The solution
Detail solution
Given the linear equation:
-6*x+9*y = 10
Looking for similar summands in the left part:
-6*x + 9*y = 10
Move the summands with the other variables
from left part to right part, we given:
$$- 6 x = 10 - 9 y$$
Divide both parts of the equation by -6
x = 10 - 9*y / (-6)
We get the answer: x = -5/3 + 3*y/2
5 3*re(y) 3*I*im(y)
x1 = - - + ------- + ---------
3 2 2
$$x_{1} = \frac{3 \operatorname{re}{\left(y\right)}}{2} + \frac{3 i \operatorname{im}{\left(y\right)}}{2} - \frac{5}{3}$$
x1 = 3*re(y)/2 + 3*i*im(y)/2 - 5/3