Express x in terms of y where -6*x+4*y=-14
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The solution
Detail solution
Given the linear equation:
-6*x+4*y = -14
Looking for similar summands in the left part:
-6*x + 4*y = -14
Move the summands with the other variables
from left part to right part, we given:
$$- 6 x = - 4 y - 14$$
Divide both parts of the equation by -6
x = -14 - 4*y / (-6)
We get the answer: x = 7/3 + 2*y/3
7 2*re(y) 2*I*im(y)
x1 = - + ------- + ---------
3 3 3
$$x_{1} = \frac{2 \operatorname{re}{\left(y\right)}}{3} + \frac{2 i \operatorname{im}{\left(y\right)}}{3} + \frac{7}{3}$$
x1 = 2*re(y)/3 + 2*i*im(y)/3 + 7/3