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