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