Express x in terms of y where 8*x-4*y=10
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
8*x-4*y = 10
Looking for similar summands in the left part:
-4*y + 8*x = 10
Move the summands with the other variables
from left part to right part, we given:
$$8 x = 4 y + 10$$
Divide both parts of the equation by 8
x = 10 + 4*y / (8)
We get the answer: x = 5/4 + y/2
5 re(y) I*im(y)
x1 = - + ----- + -------
4 2 2
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{2} + \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{5}{4}$$
x1 = re(y)/2 + i*im(y)/2 + 5/4