Express x in terms of y where 12*x-8*y=13
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The solution
Detail solution
Given the linear equation:
12*x-8*y = 13
Looking for similar summands in the left part:
-8*y + 12*x = 13
Move the summands with the other variables
from left part to right part, we given:
$$12 x = 8 y + 13$$
Divide both parts of the equation by 12
x = 13 + 8*y / (12)
We get the answer: x = 13/12 + 2*y/3
13 2*re(y) 2*I*im(y)
x1 = -- + ------- + ---------
12 3 3
$$x_{1} = \frac{2 \operatorname{re}{\left(y\right)}}{3} + \frac{2 i \operatorname{im}{\left(y\right)}}{3} + \frac{13}{12}$$
x1 = 2*re(y)/3 + 2*i*im(y)/3 + 13/12