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