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